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sister of mrs. humphry ward. julia named him aldous after a character in one of her sister's novels. aldous was the grandson of thomas henry huxley, the zoologist, agnostic, and controversialist ("darwin's bulldog"). his brother julian huxley and half-brother andrew huxley also became outstanding biologists. aldous had another brother, noel trevenen huxley (18891914), who took his own life after a period of clinical depression. as a child, huxley's nickname was "ogie", short for "ogre". he was described by his brother, julian, as someone who frequently "[contemplated] the strangeness of things". according to his cousin and contemporary, gervas huxley, he had an early interest in drawing. huxley's education began in his father's well-equipped botanical laboratory, after which he enrolled at hillside school near
godalming. he was taught there by his own mother for several years until she became terminally ill. after hillside he went on to eton college. his mother died in 1908, when he was 14 (his father later remarried). he contracted the eye disease keratitis punctata in 1911; this "left [him] practically blind for two to three years". this "ended his early dreams of becoming a doctor". in october 1913, huxley entered balliol college, oxford, where he studied english literature. he volunteered for the british army in january 1916, for the great war; however, he was rejected on health grounds, being half-blind in one eye. his eyesight later partly recovered. he edited oxford poetry in 1916, and in june of that year graduated ba with first class honours. his brother julian wrote: following his years at balliol, huxley,
being financially indebted to his father, decided to find employment. he taught french for a year at eton college, where eric blair (who was to take the pen name george orwell) and steven runciman were among his pupils. he was mainly remembered as being an incompetent schoolmaster unable to keep order in class. nevertheless, blair and others spoke highly of his excellent command of language. huxley also worked for a time during the 1920s at brunner and mond, an advanced chemical plant in billingham in county durham, northeast england. according to the introduction to the latest edition of his science fiction novel brave new world (1932), the experience he had there of "an ordered universe in a world of planless incoherence" was an important source for the novel. career huxley completed his first (unpublished)
novel at the age of 17 and began writing seriously in his early twenties, establishing himself as a successful writer and social satirist. his first published novels were social satires, crome yellow (1921), antic hay (1923), those barren leaves (1925), and point counter point (1928). brave new world (1932) was his fifth novel and first dystopian work. in the 1920s, he was also a contributor to vanity fair and british vogue magazines. contact with the bloomsbury set during the first world war, huxley spent much of his time at garsington manor near oxford, home of lady ottoline morrell, working as a farm labourer. while at the manor, he met several bloomsbury group figures, including bertrand russell, alfred north whitehead, and clive bell. later, in crome yellow (1921), he caricatured the garsington lifestyle.
jobs were very scarce, but in 1919, john middleton murry was reorganising the athenaeum and invited huxley to join the staff. he accepted immediately, and quickly married the belgian refugee maria nys (1899-1955), also at garsington. they lived with their young son in italy part of the time during the 1920s, where huxley would visit his friend d. h. lawrence. following lawrence's death in 1930, huxley edited lawrence's letters (1932). very early in 1929, in london, huxley met gerald heard, a brilliant writer and broadcaster, philosopher and interpreter of contemporary science. works of this period included important novels on the dehumanising aspects of scientific progress, most famously brave new world, and on pacifist themes (for example, eyeless in gaza). in brave new world, set in a dystopian london, huxley
portrays a society operating on the principles of mass production and pavlovian conditioning. huxley was strongly influenced by f. matthias alexander, and included him as a character in eyeless in gaza (1936). beginning in this period, huxley began to write and edit non-fiction works on pacifist issues, including ends and means (1937), an encyclopedia of pacifism, and pacifism and philosophy, and was an active member of the peace pledge union. life in the united states in 1937, huxley moved to hollywood with his wife maria, son matthew huxley, and friend gerald heard. he lived in the u.s., mainly in southern california, until his death, and also for a time in taos, new mexico, where he wrote ends and means (published in 1937). the book contains tracts on war, religion, nationalism, and ethics. heard introduced
huxley to vedanta (upanishad-centered philosophy), meditation, and vegetarianism through the principle of ahimsa. in 1938, huxley befriended jiddu krishnamurti, whose teachings he greatly admired. huxley and krishnamurti entered into an enduring exchange (sometimes edging on debate) over many years, with krishnamurti representing the more rarefied, detached, ivory-tower perspective and huxley, with his pragmatic concerns, the more socially and historically informed position. huxley provided an introduction to krishnamurti's quintessential statement, the first and last freedom (1954). huxley also became a vedantist in the circle of hindu swami prabhavananda, and introduced christopher isherwood to this circle. not long afterwards, huxley wrote his book on widely held spiritual values and ideas, the perennial
philosophy, which discussed the teachings of renowned mystics of the world. huxley's book affirmed a sensibility that insists there are realities beyond the generally accepted "five senses" and that there is genuine meaning for humans beyond both sensual satisfactions and sentimentalities. huxley became a close friend of remsen bird, president of occidental college. he spent much time at the college, which is in the eagle rock neighbourhood of los angeles. the college appears as "tarzana college" in his satirical novel after many a summer (1939). the novel won huxley a british literary award, the 1939 james tait black memorial prize for fiction. huxley also incorporated bird into the novel. during this period, huxley earned a substantial income as a hollywood screenwriter; christopher isherwood, in his autobiography
my guru and his disciple, states that huxley earned more than $3,000 per week (approximately $50,000 in 2020 dollars) as a screenwriter, and that he used much of it to transport jewish and left-wing writer and artist refugees from hitler's germany to the us. in march 1938, huxley's friend anita loos, a novelist and screenwriter, put him in touch with metro-goldwyn-mayer (mgm), which hired him for madame curie which was originally to star greta garbo and be directed by george cukor. (eventually, the film was completed by mgm in 1943 with a different director and cast.) huxley received screen credit for pride and prejudice (1940) and was paid for his work on a number of other films, including jane eyre (1944). he was commissioned by walt disney in 1945 to write a script based on alice's adventures in wonderland
and the biography of the story's author, lewis carroll. the script was not used, however. huxley wrote an introduction to the posthumous publication of j. d. unwin's 1940 book hopousia or the sexual and economic foundations of a new society. on 21 october 1949, huxley wrote to george orwell, author of nineteen eighty-four, congratulating him on "how fine and how profoundly important the book is". in his letter to orwell, he predicted: in 1953, huxley and maria applied for united states citizenship and presented themselves for examination. when huxley refused to bear arms for the u.s. and would not state that his objections were based on religious ideals, the only excuse allowed under the mccarran act, the judge had to adjourn the proceedings. he withdrew his application. nevertheless, he remained in the u.s.
in 1959, huxley turned down an offer to be made a knight bachelor by the macmillan government without putting forward a reason; his brother julian had been knighted in 1958, while another brother andrew would be knighted in 1974. in the fall semester of 1960 huxley was invited by professor huston smith to be the carnegie visiting professor of humanities at the massachusetts institute of technology (mit). as part of the mit centennial program of events organised by the department of humanities, huxley presented a series of lectures titled, "what a piece of work is a man" which concerned history, language, and art. late-in-life perspectives biographer harold h. watts wrote that huxley's writings in the "final and extended period of his life" are "the work of a man who is meditating on the central problems of
many modern men". huxley had deeply felt apprehensions about the future the developed world might make for itself. from these, he made some warnings in his writings and talks. in a 1958 televised interview conducted by journalist mike wallace, huxley outlined several major concerns: the difficulties and dangers of world overpopulation; the tendency towards distinctly hierarchical social organisation; the crucial importance of evaluating the use of technology in mass societies susceptible to persuasion; the tendency to promote modern politicians to a naive public as well-marketed commodities. in a december 1962 letter to brother julian, summarizing a paper he had presented in santa barbara, he wrote, "what i said was that if we didn't pretty quickly start thinking of human problems in ecological terms rather than
in terms of power politics we should very soon be in a bad way." huxley's engagement with eastern wisdom traditions was entirely compatible with a strong appreciation of modern science. biographer milton birnbaum wrote that huxley "ended by embracing both science and eastern religion". in his last book, literature and science, huxley wrote that "the ethical and philosophical implications of modern science are more buddhist than christian...." in "a philosopher's visionary prediction," published one month before he died, huxley endorsed training in general semantics and "the nonverbal world of culturally uncontaminated consciousness," writing that "we must learn how to be mentally silent, we must cultivate the art of pure receptivity.... [t]he individual must learn to decondition himself, must be able to cut
holes in the fence of verbalized symbols that hems him in." association with vedanta beginning in 1939 and continuing until his death in 1963, huxley had an extensive association with the vedanta society of southern california, founded and headed by swami prabhavananda. together with gerald heard, christopher isherwood and other followers, he was initiated by the swami and was taught meditation and spiritual practices. in 1944, huxley wrote the introduction to the "bhagavad gita: the song of god", translated by swami prabhavananda and christopher isherwood, which was published by the vedanta society of southern california. from 1941 until 1960, huxley contributed 48 articles to vedanta and the west, published by the society. he also served on the editorial board with isherwood, heard, and playwright john
van druten from 1951 through 1962. huxley also occasionally lectured at the hollywood and santa barbara vedanta temples. two of those lectures have been released on cd: knowledge and understanding and who are we? from 1955. nonetheless, huxley's agnosticism, together with his speculative propensity, made it difficult for him to fully embrace any form of institutionalised religion. psychedelic drug use and mystical experiences in the spring of 1953, huxley had his first experience with the psychedelic drug mescaline. huxley had initiated a correspondence with doctor humphry osmond, a british psychiatrist then employed in a canadian institution, and eventually asked him to supply a dose of mescaline; osmond obliged and supervised huxley's session in southern california. after the publication of the doors of
perception, in which he recounted this experience, huxley and swami prabhavananda disagreed about the meaning and importance of the psychedelic drug experience, which may have caused the relationship to cool, but huxley continued to write articles for the society's journal, lecture at the temple, and attend social functions. huxley later had an experience on mescaline that he considered more profound than those detailed in the doors of perception. huxley wrote that "the mystical experience is doubly valuable; it is valuable because it gives the experiencer a better understanding of himself and the world and because it may help him to lead a less self-centered and more creative life." eyesight differing accounts exist about the details of the quality of huxley's eyesight at specific points in his life. circa
1939, huxley encountered the bates method, in which he was instructed by margaret darst corbett. in 1940, huxley relocated from hollywood to a ranchito in the high desert hamlet of llano, california, in northern los angeles county. huxley then said that his sight improved dramatically with the bates method and the extreme and pure natural lighting of the southwestern american desert. he reported that, for the first time in more than 25 years, he was able to read without glasses and without strain. he even tried driving a car along the dirt road beside the ranch. he wrote a book about his experiences with the bates method, the art of seeing, which was published in 1942 (u.s.), 1943 (uk). the book contained some generally disputed theories, and its publication created a growing degree of popular controversy about
huxley's eyesight. it was, and is, widely believed that huxley was nearly blind since the illness in his teens, despite the partial recovery that had enabled him to study at oxford. for example, some ten years after publication of the art of seeing, in 1952, bennett cerf was present when huxley spoke at a hollywood banquet, wearing no glasses and apparently reading his paper from the lectern without difficulty: "then suddenly he falteredand the disturbing truth became obvious. he wasn't reading his address at all. he had learned it by heart. to refresh his memory he brought the paper closer and closer to his eyes. when it was only an inch or so away he still couldn't read it, and had to fish for a magnifying glass in his pocket to make the typing visible to him. it was an agonising moment." brazilian author
joao ubaldo ribeiro, who as a young journalist spent several evenings in the huxleys' company in the late 1950s, wrote that huxley had said to him, with a wry smile: "i can hardly see at all. and i don't give a damn, really." on the other hand, huxley's second wife, laura archera, later emphasised in her biographical account, this timeless moment: "one of the great achievements of his life: that of having regained his sight." after revealing a letter she wrote to the los angeles times disclaiming the label of huxley as a "poor fellow who can hardly see" by walter c. alvarez, she tempered her statement: "although i feel it was an injustice to treat aldous as though he were blind, it is true there were many indications of his impaired vision. for instance, although aldous did not wear glasses, he would quite often
use a magnifying lens." laura huxley proceeded to elaborate a few nuances of inconsistency peculiar to huxley's vision. her account, in this respect, agrees with the following sample of huxley's own words from the art of seeing: "the most characteristic fact about the functioning of the total organism, or any part of the organism, is that it is not constant, but highly variable." nevertheless, the topic of huxley's eyesight has continued to endure similar, significant controversy. american popular science author steven johnson, in his book mind wide open, quotes huxley about his difficulties with visual encoding: "i am and, for as long as i can remember, i have always been a poor visualizer. words, even the pregnant words of poets, do not evoke pictures in my mind. no hypnagogic visions greet me on the verge
of sleep. when i recall something, the memory does not present itself to me as a vividly seen event or object. by an effort of the will, i can evoke a not very vivid image of what happened yesterday afternoon..." personal life huxley married on 10 july 1919 maria nys (10 september 1899 12 february 1955), a belgian epidemiologist from bellem, a village near aalter, he met at garsington, oxfordshire, in 1919. they had one child, matthew huxley (19 april 1920 10 february 2005), who had a career as an author, anthropologist, and prominent epidemiologist. in 1955, maria huxley died of cancer. in 1956, huxley married laura archera (19112007), also an author, as well as a violinist and psychotherapist. she wrote this timeless moment, a biography of huxley. she told the story of their marriage through mary ann braubach's
2010 documentary, huxley on huxley. huxley was diagnosed with laryngeal cancer in 1960; in the years that followed, with his health deteriorating, he wrote the utopian novel island, and gave lectures on "human potentialities" both at the ucsf medical center and at the esalen institute. these lectures were fundamental to the beginning of the human potential movement. huxley was a close friend of jiddu krishnamurti and rosalind rajagopal and was involved in the creation of the happy valley school, now besant hill school of happy valley, in ojai, california. the most substantial collection of huxley's few remaining papers, following the destruction of most in the 1961 bel air fire, is at the library of the university of california, los angeles. some are also at the stanford university libraries. on 9 april 1962
huxley was informed he was elected companion of literature by the royal society of literature, the senior literary organisation in britain, and he accepted the title via letter on 28 april 1962. the correspondence between huxley and the society is kept at the cambridge university library. the society invited huxley to appear at a banquet and give a lecture at somerset house, london, in june 1963. huxley wrote a draft of the speech he intended to give at the society; however, his deteriorating health meant he was not able to attend. death on his deathbed, unable to speak owing to advanced laryngeal cancer, huxley made a written request to his wife laura for "lsd, 100 g, intramuscular." according to her account of his death in this timeless moment, she obliged with an injection at 11:20a.m. and a second dose
an hour later; huxley died aged 69, at 5:20p.m. (los angeles time), on 22 november 1963. media coverage of huxley's death, along with that of fellow british author c. s. lewis, was overshadowed by the assassination of american president john f. kennedy on the same day, less than seven hours before huxley's death. in a 2009 article for new york magazine titled "the eclipsed celebrity death club", christopher bonanos wrote: this coincidence served as the basis for peter kreeft's book between heaven and hell: a dialog somewhere beyond death with john f. kennedy, c. s. lewis, & aldous huxley, which imagines a conversation among the three men taking place in purgatory following their deaths. huxley's memorial service took place in london in december 1963; it was led by his elder brother julian. on 27 october 1971,
his ashes were interred in the family grave at the watts cemetery, home of the watts mortuary chapel in compton, guildford, surrey, england. huxley had been a long-time friend of russian composer igor stravinsky, who dedicated his last orchestral composition to huxley. what became variations: aldous huxley in memoriam was begun in july 1963, completed in october 1964, and premiered by the chicago symphony orchestra on 17 april 1965. awards 1939: james tait black memorial prize 1959: american academy of arts and letters award of merit . 1962: companion of literature film adaptations of huxley's work 1950: prelude to fame based upon young archimedes 1968: point counter point 1971: the devils 1980: brave new world 1998: brave new world 2020: brave new world bibliography see also list of peace
activists references sources . reprinted in perspectives on schoenberg and stravinsky, revised edition, edited by benjamin boretz and edward t. cone. new york: w. w. norton, 1972. further reading anderson, jack. 4 july 1982. "ballet: suzanne farrell in variations premiere". the new york times. atkins, john. aldous huxley: a literary study, j. calder, 1956 barnes, clive. 1 april 1966. "ballet: still another balanchine-stravinsky pearl; city troupe performs in premiere here variations for huxley at state theater". the new york times, p.28. firchow, peter. aldous huxley: satirist and novelist, u of minnesota p, 1972 firchow, peter. the end of utopia: a study of aldous huxley's brave new world, bucknell up, 1984 huxley, aldous. the human situation: aldous huxley lectures at santa barbara 1959,
flamingo modern classic, 1994, huxley, laura archera. this timeless moment, celestial arts, 2001, meckier, jerome. aldous huxley: modern satirical novelist of ideas, firchow and nugel editors, lit verlag berlin-hamburg-munster, 2006, morgan, w. john, 'pacifism or bourgeois pacifism? huxley, orwell, and caudwell', chapter 5 in morgan, w. john and guilherme, alexandre (eds.),peace and war-historical, philosophical, and anthropological perspectives, palgrave macmillan, 2020, pp, 7196. . murray, nicholas. aldous huxley, macmillan, 2003, poller, jake. aldous huxley, reaktion critical lives, 2021. . poller, jake. aldous huxley and alternative spirituality, brill, 2019. . rolo, charles j. (ed.). the world of aldous huxley, grosset universal library, 1947. shaw, jeffrey m. illusions of freedom: thomas merton
and jacques ellul on technology and the human condition. eugene, oregon: wipf and stock. 2014. . shadurski, maxim. the nationality of utopia: h. g. wells, england, and the world state. new york and london: routledge, 2020. (chapter 5) watt, conrad (ed.). aldous huxley, routledge, 1997, external links aldous huxley full interview 1958: the problems of survival and freedom in america portraits at the national portrait gallery raymond fraser, george wickes (spring 1960). "interview: aldous huxley: the art of fiction no. 24". the paris review. bbc discussion programme in our time: "brave new world". huxley and the novel. 9 april 2009. (audio, 45 minutes) bbc in their own words series. 12 october 1958 (video, 12 mins) "the ultimate revolution" (talk at uc berkeley, 20 march 1962) huxley interviewed
on the mike wallace interview 18 may 1958 (video) centre for huxley research aldous huxley papers at university of california, los angeles library special collections online editions 1894 births 1963 deaths 20th-century english novelists 20th-century essayists alumni of balliol college, oxford anti-consumerists bates method english emigrants to the united states 20th-century british short story writers burials in surrey consciousness researchers and theorists deaths from cancer in california deaths from laryngeal cancer duke university faculty english agnostics english essayists english expatriates in the united states english male novelists english male poets english male short story writers english pacifists english people of cornish descent english satirists english science fiction writers english
short story writers english travel writers futurologists human potential movement aldous james tait black memorial prize recipients male essayists moral philosophers mystics neo-vedanta people educated at eton college people from godalming perennial philosophy philosophers of culture philosophers of ethics and morality philosophers of literature philosophers of mind philosophers of technology psychedelic drug advocates writers from los angeles writers from taos, new mexico 20th-century english philosophers lost generation writers
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perth and aberdeen junction railway, a later name of the dundee and perth railway shipping aberdeen line, a british shipping company founded in 1825 , one of several ships by that name , a sloop of the british royal navy that served between 1936 and 1948 , a merchant ship operated during the latter stages of world war ii, later commissioned as the uss altair sports aberdeen dad vail regatta, the largest regular intercollegiate rowing event in the united states, named after its sponsor, aberdeen asset management aberdeen f.c. (disambiguation) aberdeen gsfp rfc, an amateur rugby union club based in aberdeen aberdeen ironbirds, a minor league baseball team affiliated with the baltimore orioles aberdeen l.f.c., a women's football team affiliated with aberdeen f.c. see also aberdeen act aberdeen angus,
a scottish breed of small beef cattle aberdeen central (disambiguation) aberdeen gardens (disambiguation) aberdeen historic district (disambiguation) aberdeen hospital (disambiguation) aberdeen quarry, a granite quarry in colorado battle of aberdeen (disambiguation) diocese of aberdeen and orkney, one of the seven dioceses of the scottish episcopal church etymology of aberdeen marquess of aberdeen and temair, a title in the peerage of the united kingdom
algae (; singular alga ) is an informal term for a large and diverse group of photosynthetic eukaryotic organisms. it is a polyphyletic grouping that includes species from multiple distinct clades. included organisms range from unicellular microalgae, such as chlorella, prototheca and the diatoms, to multicellular forms, such as the giant kelp, a large brown alga which may grow up to in length. most are aquatic and autotrophic (they generate food internally) and lack many of the distinct cell and tissue types, such as stomata, xylem and phloem that are found in land plants. the largest and most complex marine algae are called seaweeds, while the most complex freshwater forms are the charophyta, a division of green algae which includes, for example, spirogyra and stoneworts. no definition of algae is generally
accepted. one definition is that algae "have chlorophyll as their primary photosynthetic pigment and lack a sterile covering of cells around their reproductive cells". likewise, the colorless prototheca under chlorophyta are all devoid of any chlorophyll. although cyanobacteria are often referred to as "blue-green algae", most authorities exclude all prokaryotes from the definition of algae. algae constitute a polyphyletic group since they do not include a common ancestor, and although their plastids seem to have a single origin, from cyanobacteria, they were acquired in different ways. green algae are examples of algae that have primary chloroplasts derived from endosymbiotic cyanobacteria. diatoms and brown algae are examples of algae with secondary chloroplasts derived from an endosymbiotic red alga. algae
exhibit a wide range of reproductive strategies, from simple asexual cell division to complex forms of sexual reproduction. algae lack the various structures that characterize land plants, such as the phyllids (leaf-like structures) of bryophytes, rhizoids of nonvascular plants, and the roots, leaves, and other organs found in tracheophytes (vascular plants). most are phototrophic, although some are mixotrophic, deriving energy both from photosynthesis and uptake of organic carbon either by osmotrophy, myzotrophy, or phagotrophy. some unicellular species of green algae, many golden algae, euglenids, dinoflagellates, and other algae have become heterotrophs (also called colorless or apochlorotic algae), sometimes parasitic, relying entirely on external energy sources and have limited or no photosynthetic apparatus.
some other heterotrophic organisms, such as the apicomplexans, are also derived from cells whose ancestors possessed plastids, but are not traditionally considered as algae. algae have photosynthetic machinery ultimately derived from cyanobacteria that produce oxygen as a by-product of photosynthesis, unlike other photosynthetic bacteria such as purple and green sulfur bacteria. fossilized filamentous algae from the vindhya basin have been dated back to 1.6 to 1.7billion years ago. because of the wide range of types of algae, they have increasing different industrial and traditional applications in human society. traditional seaweed farming practices have existed for thousands of years and have strong traditions in east asia food cultures. more modern algaculture applications extend the food traditions for other
applications include cattle feed, using algae for bioremediation or pollution control, transforming sunlight into algae fuels or other chemicals used in industrial processes, and in medical and scientific applications. a 2020 review, found that these applications of algae could play an important role in carbon sequestration in order to mitigate climate change while providing valuable value-add products for global economies. etymology and study the singular is the latin word for 'seaweed' and retains that meaning in english. the etymology is obscure. although some speculate that it is related to latin , 'be cold', no reason is known to associate seaweed with temperature. a more likely source is , 'binding, entwining'. the ancient greek word for 'seaweed' was (), which could mean either the seaweed (probably
red algae) or a red dye derived from it. the latinization, , meant primarily the cosmetic rouge. the etymology is uncertain, but a strong candidate has long been some word related to the biblical (), 'paint' (if not that word itself), a cosmetic eye-shadow used by the ancient egyptians and other inhabitants of the eastern mediterranean. it could be any color: black, red, green, or blue. accordingly, the modern study of marine and freshwater algae is called either phycology or algology, depending on whether the greek or latin root is used. the name fucus appears in a number of taxa. classifications the committee on the international code of botanical nomenclature has recommended certain suffixes for use in the classification of algae. these are -phyta for division, -phyceae for class, -phycideae for subclass,
-ales for order, -inales for suborder, -aceae for family, -oidease for subfamily, a greek-based name for genus, and a latin-based name for species. algal characteristics basic to primary classification the primary classification of algae is based on certain morphological features. the chief among these are (a) pigment constitution of the cell, (b) chemical nature of stored food materials, (c) kind, number, point of insertion and relative length of the flagella on the motile cell, (d) chemical composition of cell wall and (e) presence or absence of a definitely organized nucleus in the cell or any other significant details of cell structure. history of classification of algae although carolus linnaeus (1754) included algae along with lichens in his 25th class cryptogamia, he did not elaborate further on the
classification of algae. jean pierre etienne vaucher (1803) was perhaps the first to propose a system of classification of algae, and he recognized three groups, conferves, ulves, and tremelles. while johann heinrich friedrich link (1820) classified algae on the basis of the colour of the pigment and structure, william henry harvey (1836) proposed a system of classification on the basis of the habitat and the pigment. j. g. agardh (18491898) divided algae into six orders: diatomaceae, nostochineae, confervoideae, ulvaceae, floriadeae and fucoideae. around 1880, algae along with fungi were grouped under thallophyta, a division created by eichler (1836). encouraged by this, adolf engler and karl a. e. prantl (1912) proposed a revised scheme of classification of algae and included fungi in algae as they were of
opinion that fungi have been derived from algae. the scheme proposed by engler and prantl is summarised as follows: schizophyta phytosarcodina flagellata dinoflagellata bacillariophyta conjugatae chlorophyceae charophyta phaeophyceae rhodophyceae eumycetes (fungi) the algae contain chloroplasts that are similar in structure to cyanobacteria. chloroplasts contain circular dna like that in cyanobacteria and are interpreted as representing reduced endosymbiotic cyanobacteria. however, the exact origin of the chloroplasts is different among separate lineages of algae, reflecting their acquisition during different endosymbiotic events. the table below describes the composition of the three major groups of algae. their lineage relationships are shown in the figure in the upper right. many of these groups
contain some members that are no longer photosynthetic. some retain plastids, but not chloroplasts, while others have lost plastids entirely. phylogeny based on plastid not nucleocytoplasmic genealogy: linnaeus, in species plantarum (1753), the starting point for modern botanical nomenclature, recognized 14 genera of algae, of which only four are currently considered among algae. in systema naturae, linnaeus described the genera volvox and corallina, and a species of acetabularia (as madrepora), among the animals. in 1768, samuel gottlieb gmelin (17441774) published the historia fucorum, the first work dedicated to marine algae and the first book on marine biology to use the then new binomial nomenclature of linnaeus. it included elaborate illustrations of seaweed and marine algae on folded leaves. w. h.
harvey (18111866) and lamouroux (1813) were the first to divide macroscopic algae into four divisions based on their pigmentation. this is the first use of a biochemical criterion in plant systematics. harvey's four divisions are: red algae (rhodospermae), brown algae (melanospermae), green algae (chlorospermae), and diatomaceae. at this time, microscopic algae were discovered and reported by a different group of workers (e.g., o. f. muller and ehrenberg) studying the infusoria (microscopic organisms). unlike macroalgae, which were clearly viewed as plants, microalgae were frequently considered animals because they are often motile. even the nonmotile (coccoid) microalgae were sometimes merely seen as stages of the lifecycle of plants, macroalgae, or animals. although used as a taxonomic category in some pre-darwinian
classifications, e.g., linnaeus (1753), de jussieu (1789), horaninow (1843), agassiz (1859), wilson & cassin (1864), in further classifications, the "algae" are seen as an artificial, polyphyletic group. throughout the 20th century, most classifications treated the following groups as divisions or classes of algae: cyanophytes, rhodophytes, chrysophytes, xanthophytes, bacillariophytes, phaeophytes, pyrrhophytes (cryptophytes and dinophytes), euglenophytes, and chlorophytes. later, many new groups were discovered (e.g., bolidophyceae), and others were splintered from older groups: charophytes and glaucophytes (from chlorophytes), many heterokontophytes (e.g., synurophytes from chrysophytes, or eustigmatophytes from xanthophytes), haptophytes (from chrysophytes), and chlorarachniophytes (from xanthophytes). with
the abandonment of plant-animal dichotomous classification, most groups of algae (sometimes all) were included in protista, later also abandoned in favour of eukaryota. however, as a legacy of the older plant life scheme, some groups that were also treated as protozoans in the past still have duplicated classifications (see ambiregnal protists). some parasitic algae (e.g., the green algae prototheca and helicosporidium, parasites of metazoans, or cephaleuros, parasites of plants) were originally classified as fungi, sporozoans, or protistans of incertae sedis, while others (e.g., the green algae phyllosiphon and rhodochytrium, parasites of plants, or the red algae pterocladiophila and gelidiocolax mammillatus, parasites of other red algae, or the dinoflagellates oodinium, parasites of fish) had their relationship
with algae conjectured early. in other cases, some groups were originally characterized as parasitic algae (e.g., chlorochytrium), but later were seen as endophytic algae. some filamentous bacteria (e.g., beggiatoa) were originally seen as algae. furthermore, groups like the apicomplexans are also parasites derived from ancestors that possessed plastids, but are not included in any group traditionally seen as algae. relationship to land plants the first land plants probably evolved from shallow freshwater charophyte algae much like chara almost 500million years ago. these probably had an isomorphic alternation of generations and were probably filamentous. fossils of isolated land plant spores suggest land plants may have been around as long as 475million years ago. morphology a range of algal morphologies
is exhibited, and convergence of features in unrelated groups is common. the only groups to exhibit three-dimensional multicellular thalli are the reds and browns, and some chlorophytes. apical growth is constrained to subsets of these groups: the florideophyte reds, various browns, and the charophytes. the form of charophytes is quite different from those of reds and browns, because they have distinct nodes, separated by internode 'stems'; whorls of branches reminiscent of the horsetails occur at the nodes. conceptacles are another polyphyletic trait; they appear in the coralline algae and the hildenbrandiales, as well as the browns. most of the simpler algae are unicellular flagellates or amoeboids, but colonial and nonmotile forms have developed independently among several of the groups. some of the more
common organizational levels, more than one of which may occur in the lifecycle of a species, are colonial: small, regular groups of motile cells capsoid: individual non-motile cells embedded in mucilage coccoid: individual non-motile cells with cell walls palmelloid: nonmotile cells embedded in mucilage filamentous: a string of nonmotile cells connected together, sometimes branching parenchymatous: cells forming a thallus with partial differentiation of tissues in three lines, even higher levels of organization have been reached, with full tissue differentiation. these are the brown algae,some of which may reach 50m in length (kelps)the red algae, and the green algae. the most complex forms are found among the charophyte algae (see charales and charophyta), in a lineage that eventually led to the higher
land plants. the innovation that defines these nonalgal plants is the presence of female reproductive organs with protective cell layers that protect the zygote and developing embryo. hence, the land plants are referred to as the embryophytes. turfs the term algal turf is commonly used but poorly defined. algal turfs are thick, carpet-like beds of seaweed that retain sediment and compete with foundation species like corals and kelps, and they are usually less than 15cm tall. such a turf may consist of one or more species, and will generally cover an area in the order of a square metre or more. some common characteristics are listed: algae that form aggregations that have been described as turfs include diatoms, cyanobacteria, chlorophytes, phaeophytes and rhodophytes. turfs are often composed of numerous species
at a wide range of spatial scales, but monospecific turfs are frequently reported. turfs can be morphologically highly variable over geographic scales and even within species on local scales and can be difficult to identify in terms of the constituent species. turfs have been defined as short algae, but this has been used to describe height ranges from less than 0.5cm to more than 10cm. in some regions, the descriptions approached heights which might be described as canopies (20 to 30cm). physiology many algae, particularly members of the characeae species, have served as model experimental organisms to understand the mechanisms of the water permeability of membranes, osmoregulation, turgor regulation, salt tolerance, cytoplasmic streaming, and the generation of action potentials. phytohormones are found
not only in higher plants, but in algae, too. symbiotic algae some species of algae form symbiotic relationships with other organisms. in these symbioses, the algae supply photosynthates (organic substances) to the host organism providing protection to the algal cells. the host organism derives some or all of its energy requirements from the algae. examples are: lichens lichens are defined by the international association for lichenology to be "an association of a fungus and a photosynthetic symbiont resulting in a stable vegetative body having a specific structure". the fungi, or mycobionts, are mainly from the ascomycota with a few from the basidiomycota. in nature they do not occur separate from lichens. it is unknown when they began to associate. one mycobiont associates with the same phycobiont species,
rarely two, from the green algae, except that alternatively, the mycobiont may associate with a species of cyanobacteria (hence "photobiont" is the more accurate term). a photobiont may be associated with many different mycobionts or may live independently; accordingly, lichens are named and classified as fungal species. the association is termed a morphogenesis because the lichen has a form and capabilities not possessed by the symbiont species alone (they can be experimentally isolated). the photobiont possibly triggers otherwise latent genes in the mycobiont. trentepohlia is an example of a common green alga genus worldwide that can grow on its own or be lichenised. lichen thus share some of the habitat and often similar appearance with specialized species of algae (aerophytes) growing on exposed surfaces
such as tree trunks and rocks and sometimes discoloring them. coral reefs coral reefs are accumulated from the calcareous exoskeletons of marine invertebrates of the order scleractinia (stony corals). these animals metabolize sugar and oxygen to obtain energy for their cell-building processes, including secretion of the exoskeleton, with water and carbon dioxide as byproducts. dinoflagellates (algal protists) are often endosymbionts in the cells of the coral-forming marine invertebrates, where they accelerate host-cell metabolism by generating sugar and oxygen immediately available through photosynthesis using incident light and the carbon dioxide produced by the host. reef-building stony corals (hermatypic corals) require endosymbiotic algae from the genus symbiodinium to be in a healthy condition. the loss
of symbiodinium from the host is known as coral bleaching, a condition which leads to the deterioration of a reef. sea sponges endosymbiontic green algae live close to the surface of some sponges, for example, breadcrumb sponges (halichondria panicea). the alga is thus protected from predators; the sponge is provided with oxygen and sugars which can account for 50 to 80% of sponge growth in some species. lifecycle rhodophyta, chlorophyta, and heterokontophyta, the three main algal divisions, have lifecycles which show considerable variation and complexity. in general, an asexual phase exists where the seaweed's cells are diploid, a sexual phase where the cells are haploid, followed by fusion of the male and female gametes. asexual reproduction permits efficient population increases, but less variation is possible.
commonly, in sexual reproduction of unicellular and colonial algae, two specialized, sexually compatible, haploid gametes make physical contact and fuse to form a zygote. to ensure a successful mating, the development and release of gametes is highly synchronized and regulated; pheromones may play a key role in these processes. sexual reproduction allows for more variation and provides the benefit of efficient recombinational repair of dna damages during meiosis, a key stage of the sexual cycle. however, sexual reproduction is more costly than asexual reproduction. meiosis has been shown to occur in many different species of algae. numbers the algal collection of the us national herbarium (located in the national museum of natural history) consists of approximately 320,500 dried specimens, which, although not
exhaustive (no exhaustive collection exists), gives an idea of the order of magnitude of the number of algal species (that number remains unknown). estimates vary widely. for example, according to one standard textbook, in the british isles the uk biodiversity steering group report estimated there to be 20,000 algal species in the uk. another checklist reports only about 5,000 species. regarding the difference of about 15,000 species, the text concludes: "it will require many detailed field surveys before it is possible to provide a reliable estimate of the total number of species..." regional and group estimates have been made, as well: 5,0005,500 species of red algae worldwide "some 1,300 in australian seas" 400 seaweed species for the western coastline of south africa, and 212 species from the coast of
kwazulu-natal. some of these are duplicates, as the range extends across both coasts, and the total recorded is probably about 500 species. most of these are listed in list of seaweeds of south africa. these exclude phytoplankton and crustose corallines. 669 marine species from california (us) 642 in the check-list of britain and ireland and so on, but lacking any scientific basis or reliable sources, these numbers have no more credibility than the british ones mentioned above. most estimates also omit microscopic algae, such as phytoplankton. the most recent estimate suggests 72,500 algal species worldwide. distribution the distribution of algal species has been fairly well studied since the founding of phytogeography in the mid-19th century. algae spread mainly by the dispersal of spores analogously to
the dispersal of plantae by seeds and spores. this dispersal can be accomplished by air, water, or other organisms. due to this, spores can be found in a variety of environments: fresh and marine waters, air, soil, and in or on other organisms. whether a spore is to grow into an organism depends on the combination of the species and the environmental conditions where the spore lands. the spores of freshwater algae are dispersed mainly by running water and wind, as well as by living carriers. however, not all bodies of water can carry all species of algae, as the chemical composition of certain water bodies limits the algae that can survive within them. marine spores are often spread by ocean currents. ocean water presents many vastly different habitats based on temperature and nutrient availability, resulting
in phytogeographic zones, regions, and provinces. to some degree, the distribution of algae is subject to floristic discontinuities caused by geographical features, such as antarctica, long distances of ocean or general land masses. it is, therefore, possible to identify species occurring by locality, such as "pacific algae" or "north sea algae". when they occur out of their localities, hypothesizing a transport mechanism is usually possible, such as the hulls of ships. for example, ulva reticulata and u. fasciata travelled from the mainland to hawaii in this manner. mapping is possible for select species only: "there are many valid examples of confined distribution patterns." for example, clathromorphum is an arctic genus and is not mapped far south of there. however, scientists regard the overall data as
insufficient due to the "difficulties of undertaking such studies." ecology algae are prominent in bodies of water, common in terrestrial environments, and are found in unusual environments, such as on snow and ice. seaweeds grow mostly in shallow marine waters, under deep; however, some such as navicula pennata have been recorded to a depth of . a type of algae, ancylonema nordenskioeldii, was found in greenland in areas known as the 'dark zone', which caused an increase in the rate of melting ice sheet. same algae was found in the italian alps, after pink ice appeared on parts of the presena glacier. the various sorts of algae play significant roles in aquatic ecology. microscopic forms that live suspended in the water column (phytoplankton) provide the food base for most marine food chains. in very high
densities (algal blooms), these algae may discolor the water and outcompete, poison, or asphyxiate other life forms. algae can be used as indicator organisms to monitor pollution in various aquatic systems. in many cases, algal metabolism is sensitive to various pollutants. due to this, the species composition of algal populations may shift in the presence of chemical pollutants. to detect these changes, algae can be sampled from the environment and maintained in laboratories with relative ease. on the basis of their habitat, algae can be categorized as: aquatic (planktonic, benthic, marine, freshwater, lentic, lotic), terrestrial, aerial (subaerial), lithophytic, halophytic (or euryhaline), psammon, thermophilic, cryophilic, epibiont (epiphytic, epizoic), endosymbiont (endophytic, endozoic), parasitic, calcifilic
or lichenic (phycobiont). cultural associations in classical chinese, the word is used both for "algae" and (in the modest tradition of the imperial scholars) for "literary talent". the third island in kunming lake beside the summer palace in beijing is known as the zaojian tang dao, which thus simultaneously means "island of the algae-viewing hall" and "island of the hall for reflecting on literary talent". cultivation seaweed farming bioreactors uses agar agar, a gelatinous substance derived from red algae, has a number of commercial uses. it is a good medium on which to grow bacteria and fungi, as most microorganisms cannot digest agar. alginates alginic acid, or alginate, is extracted from brown algae. its uses range from gelling agents in food, to medical dressings. alginic acid also has been used
in the field of biotechnology as a biocompatible medium for cell encapsulation and cell immobilization. molecular cuisine is also a user of the substance for its gelling properties, by which it becomes a delivery vehicle for flavours. between 100,000 and 170,000 wet tons of macrocystis are harvested annually in new mexico for alginate extraction and abalone feed. energy source to be competitive and independent from fluctuating support from (local) policy on the long run, biofuels should equal or beat the cost level of fossil fuels. here, algae-based fuels hold great promise, directly related to the potential to produce more biomass per unit area in a year than any other form of biomass. the break-even point for algae-based biofuels is estimated to occur by 2025. fertilizer for centuries, seaweed has been
used as a fertilizer; george owen of henllys writing in the 16th century referring to drift weed in south wales: today, algae are used by humans in many ways; for example, as fertilizers, soil conditioners, and livestock feed. aquatic and microscopic species are cultured in clear tanks or ponds and are either harvested or used to treat effluents pumped through the ponds. algaculture on a large scale is an important type of aquaculture in some places. maerl is commonly used as a soil conditioner. nutrition naturally growing seaweeds are an important source of food, especially in asia, leading some to label them as superfoods. they provide many vitamins including: a, b1, b2, b6, niacin, and c, and are rich in iodine, potassium, iron, magnesium, and calcium. in addition, commercially cultivated microalgae, including
both algae and cyanobacteria, are marketed as nutritional supplements, such as spirulina, chlorella and the vitamin-c supplement from dunaliella, high in beta-carotene. algae are national foods of many nations: china consumes more than 70 species, including fat choy, a cyanobacterium considered a vegetable; japan, over 20 species such as nori and aonori; ireland, dulse; chile, cochayuyo. laver is used to make laver bread in wales, where it is known as ; in korea, . it is also used along the west coast of north america from california to british columbia, in hawaii and by the maori of new zealand. sea lettuce and badderlocks are salad ingredients in scotland, ireland, greenland, and iceland. algae is being considered a potential solution for world hunger problem. two popular forms of algae are used in cuisine:
chlorella: this form of alga is found in freshwater and contains photosynthetic pigments in its chloroplast. it is high in iron, zinc, magnesium, vitamin b2 and omega-3 fatty acids. furthermore, it contains all nine of the essential amino acids the body does not produce on its own spirulina: known otherwise as a cyanobacterium (a prokaryote, incorrectly referred to as a "blue-green alga"), contains 10% more protein than chlorella as well as more thiamine and copper. the oils from some algae have high levels of unsaturated fatty acids. for example, parietochloris incisa is very high in arachidonic acid, where it reaches up to 47% of the triglyceride pool. some varieties of algae favored by vegetarianism and veganism contain the long-chain, essential omega-3 fatty acids, docosahexaenoic acid (dha) and eicosapentaenoic
acid (epa). fish oil contains the omega-3 fatty acids, but the original source is algae (microalgae in particular), which are eaten by marine life such as copepods and are passed up the food chain. algae have emerged in recent years as a popular source of omega-3 fatty acids for vegetarians who cannot get long-chain epa and dha from other vegetarian sources such as flaxseed oil, which only contains the short-chain alpha-linolenic acid (ala). pollution control sewage can be treated with algae, reducing the use of large amounts of toxic chemicals that would otherwise be needed. algae can be used to capture fertilizers in runoff from farms. when subsequently harvested, the enriched algae can be used as fertilizer. aquaria and ponds can be filtered using algae, which absorb nutrients from the water in a device
called an algae scrubber, also known as an algae turf scrubber. agricultural research service scientists found that 6090% of nitrogen runoff and 70100% of phosphorus runoff can be captured from manure effluents using a horizontal algae scrubber, also called an algal turf scrubber (ats). scientists developed the ats, which consists of shallow, 100-foot raceways of nylon netting where algae colonies can form, and studied its efficacy for three years. they found that algae can readily be used to reduce the nutrient runoff from agricultural fields and increase the quality of water flowing into rivers, streams, and oceans. researchers collected and dried the nutrient-rich algae from the ats and studied its potential as an organic fertilizer. they found that cucumber and corn seedlings grew just as well using ats
organic fertilizer as they did with commercial fertilizers. algae scrubbers, using bubbling upflow or vertical waterfall versions, are now also being used to filter aquaria and ponds. polymers various polymers can be created from algae, which can be especially useful in the creation of bioplastics. these include hybrid plastics, cellulose-based plastics, poly-lactic acid, and bio-polyethylene. several companies have begun to produce algae polymers commercially, including for use in flip-flops and in surf boards. bioremediation the alga stichococcus bacillaris has been seen to colonize silicone resins used at archaeological sites; biodegrading the synthetic substance. pigments the natural pigments (carotenoids and chlorophylls) produced by algae can be used as alternatives to chemical dyes and coloring agents. the
presence of some individual algal pigments, together with specific pigment concentration ratios, are taxon-specific: analysis of their concentrations with various analytical methods, particularly high-performance liquid chromatography, can therefore offer deep insight into the taxonomic composition and relative abundance of natural algae populations in sea water samples. stabilizing substances carrageenan, from the red alga chondrus crispus, is used as a stabilizer in milk products. additional images see also algaebase algaeparc eutrophication iron fertilization marimo algae microbiofuels microphyte photobioreactor phycotechnology plant toxoid anatoxin references bibliography general . regional britain and ireland australia new zealand europe arctic greenland faroe islands
. canary islands morocco south africa north america external links a database of all algal names including images, nomenclature, taxonomy, distribution, bibliography, uses, extracts enalgae endosymbiotic events polyphyletic groups
analysis of variance (anova) is a collection of statistical models and their associated estimation procedures (such as the "variation" among and between groups) used to analyze the differences among means. anova was developed by the statistician ronald fisher. anova is based on the law of total variance, where the observed variance in a particular variable is partitioned into components attributable to different sources of variation. in its simplest form, anova provides a statistical test of whether two or more population means are equal, and therefore generalizes the t-test beyond two means. history while the analysis of variance reached fruition in the 20th century, antecedents extend centuries into the past according to stigler. these include hypothesis testing, the partitioning of sums of squares, experimental
techniques and the additive model. laplace was performing hypothesis testing in the 1770s. around 1800, laplace and gauss developed the least-squares method for combining observations, which improved upon methods then used in astronomy and geodesy. it also initiated much study of the contributions to sums of squares. laplace knew how to estimate a variance from a residual (rather than a total) sum of squares. by 1827, laplace was using least squares methods to address anova problems regarding measurements of atmospheric tides. before 1800, astronomers had isolated observational errors resulting from reaction times (the "personal equation") and had developed methods of reducing the errors. the experimental methods used in the study of the personal equation were later accepted by the emerging field of psychology
which developed strong (full factorial) experimental methods to which randomization and blinding were soon added. an eloquent non-mathematical explanation of the additive effects model was available in 1885. ronald fisher introduced the term variance and proposed its formal analysis in a 1918 article the correlation between relatives on the supposition of mendelian inheritance. his first application of the analysis of variance was published in 1921. analysis of variance became widely known after being included in fisher's 1925 book statistical methods for research workers. randomization models were developed by several researchers. the first was published in polish by jerzy neyman in 1923. example the analysis of variance can be used to describe otherwise complex relations among variables. a dog show provides
an example. a dog show is not a random sampling of the breed: it is typically limited to dogs that are adult, pure-bred, and exemplary. a histogram of dog weights from a show might plausibly be rather complex, like the yellow-orange distribution shown in the illustrations. suppose we wanted to predict the weight of a dog based on a certain set of characteristics of each dog. one way to do that is to explain the distribution of weights by dividing the dog population into groups based on those characteristics. a successful grouping will split dogs such that (a) each group has a low variance of dog weights (meaning the group is relatively homogeneous) and (b) the mean of each group is distinct (if two groups have the same mean, then it isn't reasonable to conclude that the groups are, in fact, separate in any meaningful
way). in the illustrations to the right, groups are identified as x1, x2, etc. in the first illustration, the dogs are divided according to the product (interaction) of two binary groupings: young vs old, and short-haired vs long-haired (e.g., group 1 is young, short-haired dogs, group 2 is young, long-haired dogs, etc.). since the distributions of dog weight within each of the groups (shown in blue) has a relatively large variance, and since the means are very similar across groups, grouping dogs by these characteristics does not produce an effective way to explain the variation in dog weights: knowing which group a dog is in doesn't allow us to predict its weight much better than simply knowing the dog is in a dog show. thus, this grouping fails to explain the variation in the overall distribution (yellow-orange). an
attempt to explain the weight distribution by grouping dogs as pet vs working breed and less athletic vs more athletic would probably be somewhat more successful (fair fit). the heaviest show dogs are likely to be big, strong, working breeds, while breeds kept as pets tend to be smaller and thus lighter. as shown by the second illustration, the distributions have variances that are considerably smaller than in the first case, and the means are more distinguishable. however, the significant overlap of distributions, for example, means that we cannot distinguish x1 and x2 reliably. grouping dogs according to a coin flip might produce distributions that look similar. an attempt to explain weight by breed is likely to produce a very good fit. all chihuahuas are light and all st bernards are heavy. the difference
in weights between setters and pointers does not justify separate breeds. the analysis of variance provides the formal tools to justify these intuitive judgments. a common use of the method is the analysis of experimental data or the development of models. the method has some advantages over correlation: not all of the data must be numeric and one result of the method is a judgment in the confidence in an explanatory relationship. classes of models there are three classes of models used in the analysis of variance, and these are outlined here. fixed-effects models the fixed-effects model (class i) of analysis of variance applies to situations in which the experimenter applies one or more treatments to the subjects of the experiment to see whether the response variable values change. this allows the experimenter
to estimate the ranges of response variable values that the treatment would generate in the population as a whole. random-effects models random-effects model (class ii) is used when the treatments are not fixed. this occurs when the various factor levels are sampled from a larger population. because the levels themselves are random variables, some assumptions and the method of contrasting the treatments (a multi-variable generalization of simple differences) differ from the fixed-effects model. mixed-effects models a mixed-effects model (class iii) contains experimental factors of both fixed and random-effects types, with appropriately different interpretations and analysis for the two types. example: teaching experiments could be performed by a college or university department to find a good introductory
textbook, with each text considered a treatment. the fixed-effects model would compare a list of candidate texts. the random-effects model would determine whether important differences exist among a list of randomly selected texts. the mixed-effects model would compare the (fixed) incumbent texts to randomly selected alternatives. defining fixed and random effects has proven elusive, with competing definitions arguably leading toward a linguistic quagmire. assumptions the analysis of variance has been studied from several approaches, the most common of which uses a linear model that relates the response to the treatments and blocks. note that the model is linear in parameters but may be nonlinear across factor levels. interpretation is easy when data is balanced across factors but much deeper understanding
is needed for unbalanced data. textbook analysis using a normal distribution the analysis of variance can be presented in terms of a linear model, which makes the following assumptions about the probability distribution of the responses: independence of observations this is an assumption of the model that simplifies the statistical analysis. normality the distributions of the residuals are normal. equality (or "homogeneity") of variances, called homoscedasticity the variance of data in groups should be the same. the separate assumptions of the textbook model imply that the errors are independently, identically, and normally distributed for fixed effects models, that is, that the errors () are independent and randomization-based analysis in a randomized controlled experiment, the treatments are randomly
assigned to experimental units, following the experimental protocol. this randomization is objective and declared before the experiment is carried out. the objective random-assignment is used to test the significance of the null hypothesis, following the ideas of c. s. peirce and ronald fisher. this design-based analysis was discussed and developed by francis j. anscombe at rothamsted experimental station and by oscar kempthorne at iowa state university. kempthorne and his students make an assumption of unit treatment additivity, which is discussed in the books of kempthorne and david r. cox. unit-treatment additivity in its simplest form, the assumption of unit-treatment additivity states that the observed response from experimental unit when receiving treatment can be written as the sum of the unit's response
and the treatment-effect , that is the assumption of unit-treatment additivity implies that, for every treatment , the th treatment has exactly the same effect on every experiment unit. the assumption of unit treatment additivity usually cannot be directly falsified, according to cox and kempthorne. however, many consequences of treatment-unit additivity can be falsified. for a randomized experiment, the assumption of unit-treatment additivity implies that the variance is constant for all treatments. therefore, by contraposition, a necessary condition for unit-treatment additivity is that the variance is constant. the use of unit treatment additivity and randomization is similar to the design-based inference that is standard in finite-population survey sampling. derived linear model kempthorne uses the randomization-distribution
and the assumption of unit treatment additivity to produce a derived linear model, very similar to the textbook model discussed previously. the test statistics of this derived linear model are closely approximated by the test statistics of an appropriate normal linear model, according to approximation theorems and simulation studies. however, there are differences. for example, the randomization-based analysis results in a small but (strictly) negative correlation between the observations. in the randomization-based analysis, there is no assumption of a normal distribution and certainly no assumption of independence. on the contrary, the observations are dependent! the randomization-based analysis has the disadvantage that its exposition involves tedious algebra and extensive time. since the randomization-based
analysis is complicated and is closely approximated by the approach using a normal linear model, most teachers emphasize the normal linear model approach. few statisticians object to model-based analysis of balanced randomized experiments. statistical models for observational data however, when applied to data from non-randomized experiments or observational studies, model-based analysis lacks the warrant of randomization. for observational data, the derivation of confidence intervals must use subjective models, as emphasized by ronald fisher and his followers. in practice, the estimates of treatment-effects from observational studies generally are often inconsistent. in practice, "statistical models" and observational data are useful for suggesting hypotheses that should be treated very cautiously by the public. summary
of assumptions the normal-model based anova analysis assumes the independence, normality and homogeneity of variances of the residuals. the randomization-based analysis assumes only the homogeneity of the variances of the residuals (as a consequence of unit-treatment additivity) and uses the randomization procedure of the experiment. both these analyses require homoscedasticity, as an assumption for the normal-model analysis and as a consequence of randomization and additivity for the randomization-based analysis. however, studies of processes that change variances rather than means (called dispersion effects) have been successfully conducted using anova. there are no necessary assumptions for anova in its full generality, but the f-test used for anova hypothesis testing has assumptions and practical limitations
which are of continuing interest. problems which do not satisfy the assumptions of anova can often be transformed to satisfy the assumptions. the property of unit-treatment additivity is not invariant under a "change of scale", so statisticians often use transformations to achieve unit-treatment additivity. if the response variable is expected to follow a parametric family of probability distributions, then the statistician may specify (in the protocol for the experiment or observational study) that the responses be transformed to stabilize the variance. also, a statistician may specify that logarithmic transforms be applied to the responses, which are believed to follow a multiplicative model. according to cauchy's functional equation theorem, the logarithm is the only continuous transformation that transforms
real multiplication to addition. characteristics anova is used in the analysis of comparative experiments, those in which only the difference in outcomes is of interest. the statistical significance of the experiment is determined by a ratio of two variances. this ratio is independent of several possible alterations to the experimental observations: adding a constant to all observations does not alter significance. multiplying all observations by a constant does not alter significance. so anova statistical significance result is independent of constant bias and scaling errors as well as the units used in expressing observations. in the era of mechanical calculation it was common to subtract a constant from all observations (when equivalent to dropping leading digits) to simplify data entry. this is an example
of data coding. logic the calculations of anova can be characterized as computing a number of means and variances, dividing two variances and comparing the ratio to a handbook value to determine statistical significance. calculating a treatment effect is then trivial: "the effect of any treatment is estimated by taking the difference between the mean of the observations which receive the treatment and the general mean". partitioning of the sum of squares anova uses traditional standardized terminology. the definitional equation of sample variance is , where the divisor is called the degrees of freedom (df), the summation is called the sum of squares (ss), the result is called the mean square (ms) and the squared terms are deviations from the sample mean. anova estimates 3 sample variances: a total variance
based on all the observation deviations from the grand mean, an error variance based on all the observation deviations from their appropriate treatment means, and a treatment variance. the treatment variance is based on the deviations of treatment means from the grand mean, the result being multiplied by the number of observations in each treatment to account for the difference between the variance of observations and the variance of means. the fundamental technique is a partitioning of the total sum of squares ss into components related to the effects used in the model. for example, the model for a simplified anova with one type of treatment at different levels. the number of degrees of freedom df can be partitioned in a similar way: one of these components (that for error) specifies a chi-squared distribution