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Encyclopedia results for Ratio test

Ratio test





Encyclopedia results for Ratio test

  1. Ratio test

    In mathematics , the ratio test is a convergence tests test or criterion for the convergent series convergence ... to exist, it is possible to generalize the test using a limit superior . Let math L lim sup left frac a n 1 a n right math Then the ratio test states that ref harvnb Rudin 1976 loc 3.34 ref if L 1, then the series ... and limit inferior, and so the original version of the ratio test is seen as a special case of the latter. Examples Converging Consider the series math sum n 1 infty frac n e n math Putting this into the ratio test math begin align lim n to infty left frac a n 1 a n right & lim n to infty left ... this into the ratio test math begin align lim n to infty left frac a n 1 a n right & lim n to infty ... 1 a n right 1 math it is impossible to deduce from the ratio test if the series converges or diverges ... diverges. L 1 Raabe s test As seen in the previous example, the ratio test is inconclusive when the limit of the ratio is 1. An extension of the ratio test due to Joseph Ludwig Raabe sometimes allows one to deal with this case. Raabe s test states that if math lim n rightarrow infty left frac a n ... math then the series will be absolutely convergent. d Alembert s ratio test and Raabe s test are the first ... numbers. The test was first published by Jean le Rond d Alembert and is sometimes known as d Alembert s ratio test . The test makes use of the number NumBlk math L lim n rightarrow infty left frac a n 1 a n right math EquationRef 1 in the cases where this limit mathematics limit exists. The ratio test states that if L 1 then the series absolute convergence converges absolutely if L 1 then the series does not converge if L 1 or the limit fails to exist, then the test is inconclusive there exist ... for all but finitely many n , then the series diverges. The test is inconclusive otherwise. Note ... 8.14 ref if math ell lim inf left frac a n 1 a n right 1, math then the series diverges. The test ... The next cases in de Morgan s hierarchy are Bertrand s and Gauss s test. Each test involves slightly ...   more details



  1. Likelihood-ratio test

    Expert subject Statistics date November 2008 In statistics , a likelihood ratio test is a statistical test used to compare the fit of two models, one of which the null hypothesis null model is a special case of the other the alternative hypothesis alternative model . The test is based on the likelihood ratio, which expresses how many times more likely the data are under one model than the other. This likelihood ratio, or equivalently its logarithm , can then be used to compute a p value , or compared ... over two different sets in the numerator and denominator. A likelihood ratio test is a statistical test for making a decision between two hypotheses based on the value of this ratio. It is central ... there are no unknown parameters to estimate. The likelihood ratio test statistic can be written ... ratio is small if the alternative model is better than the null model and the likelihood ratio test ... that this likelihood ratio test is the Statistical power most powerful among all level math alpha math tests for this problem. Definition likelihood ratio test for composite hypotheses A null hypothesis ... held fixed at the value that was actually observed, i.e. , the data. The likelihood ratio test statistic ... Here, the math sup math notation refers to the Supremum function. A likelihood ratio test is any test ... , the LR is therefore a statistic . The likelihood ratio test rejects the null hypothesis if the value ... apr section2 apr233.htm Practical application of Likelihood ratio test described http faculty.vassar.edu ... Online Calculator Statistics inference DEFAULTSORT Likelihood Ratio Test Category Statistical ratios ... likelihood recorded. The test statistic usually denoted D is twice the difference in these log likelihoods ... distribution of the test statistic can be approximated by a chi square distribution with df1  &minus ... of free parameters of models 1 and 2 respectively. The test requires nested models, that is, models ... p values are computed. Background The likelihood ratio, often denoted by math Lambda math the capital ...   more details



  1. Sequential probability ratio test

    The sequential probability ratio test SPRT is a specific Sequential analysis sequential hypothesis test , developed by Abraham Wald . ref cite journal first Abraham last Wald title Sequential Tests of Statistical Hypotheses journal Annals of Mathematical Statistics volume 16 issue 2 date June, 1945 pages 117 186 url http links.jstor.org sici?sici 0003 4851 28194506 2916 3A2 3C117 3ASTOSH 3E2.0.CO 3B2 ... Item Selection in Adaptive Testing with the Sequential Probability Ratio Test journal Applied Psychological ... also CUSUM Computerized classification test Wald test Likelihood ratio test References references ... Ratio Test ..., offers a rule of thumb for when all the data is collected and its likelihood ratio known . While ... The development, implementation, and evaluation of a computer assisted branched test for a program ... likelihood ratio , math log Lambda i math , as new data arrive math S i S i 1 log Lambda i math ... region . Applications Manufacturing The test is done on the proportion metric, and tests that a variable ... one at a time from the lot sequential analysis until the test determines, within an acceptable error ... test CCT . The two parameters are p sub 1 sub and p sub 2 sub are specified by determining a cutscore .... For instance, suppose the cutscore is set at 70 for a test. We could select p sub 1 sub 0.65 and p sub 2 sub 0.75 . The test then evaluates the likelihood that an examinee s true score on that metric ... procedure. Again, the indifference region represents the region of scores that the test designer ... level that the test designer is willing to accept for a Fail because everyone below it has a good chance of failing , and the lower parameter p sub 1 sub is the lowest level that the test designer ... case of a licensing test for medical doctors at just what point should we consider somebody to be at one of these two levels? While the SPRT was first applied to testing in the days of classical test ...   more details



  1. A/S ratio

    The A S ratio is the proportion of the brain not directly connected with either receptor inputs or motor outputs, where A is the association cortex and S is the sensory cortex . The A S ratio can be measured for any organism with a brain, and the higher the A S ratio, the more complex the brain is. It was proposed by Donald Olding Hebb Donald Hebb in 1949. References cite book last Lerner first Dr. Richard M. title Concepts and Theories of Human Development year 2002 publisher L. Erlbaum location Mahwah, N.J. isbn 0585387362 9780585387369 oclc 49569701 DEFAULTSORT A S Ratio Category Central nervous system Category Cerebrum Category Neuroanatomy neuroanatomy stub ...   more details



  1. Ratio

    Otheruses4 the mathematical concept the Swedish institute Ratio Institute the academic journal Ratio journal the philosophical concept Reason the legal concept Ratio decidendi File Aspect ratio 4x3.svg thumb The ratio of width to height of older computer displays . In mathematics , a ratio is a relationship ..., p. 307 ref Notation and terminology The ratio of numbers A and B can be expressed as ref New International Encyclopedia ref the ratio of A to B A is to B A B The numbers A and B are sometimes ... History and etymology wiktionary It would be impossible to trace the origin of the concept of ratio ..., it is possible to trace the origin of the word ratio to the Ancient Greek logos . Early translators rendered this into Latin as ratio , meaning reason as in rational . A rational number may ... proportio proportion to indicate ratio and proportionalitas proportionality for the equality of ratios .... The Pythagoreanism Pythagoreans developed a theory of ratio and proportion as applied to numbers. ref ... 3 and 5 in book VII. Definition 3 describes what a ratio is in a general way. It is not rigorous .... ref Geometry, Euclidean Encyclop dia Britannica Eleventh Edition p682. ref Euclid defines a ratio ... areas are defined, but not the ratio of a length and an area. Definition 4 makes this more rigorous. It states that a ratio of two quantities exists when there is a multiple of each which exceeds the other. In modern notation, a ratio exists between quantities p and q if there exist integers m ... directly to one another. Though it may not be possible to assign a rational value to a ratio, it is possible to compare a ratio with a rational number. Specifically, given two quantities, p and q , and a rational number m n we can say that the ratio of p to q is less than, equal to, or greater ... Heath p. 125 ref Definition 6 says that quantities that have the same ratio are proportional or in proportion ... to the English word analog . Definition 7 defines what it means for one ratio to be less than or greater ...   more details



  1. The Test

    The Test may refer to The Test short story , ashort story by Franz Kafka The Test novel The Test novel , a novel by Mary Tappan Wright The Test Animorphs The Test Animorphs , a novel in the Animorphs series by K. A. Applegate Come with Us The Test Come with Us The Test , a single by The Chemical Brothers In television episodes The Test Dad s Army The Test Dad s Army The Test Land of the Lost The Test Land of the Lost The Test The O.C. The Test The O.C. See also Test disambiguation disambig ...   more details



  1. This Is Not a Test

    This Is Not a Test may refer to This Is Not a Test 1962 film This Is Not a Test , a nuclear war film This Is Not a Test 2008 film This Is Not a Test , a comedy drama film starring Hill Harper This Is Not a Test , an album by Missy Elliott This Is Not A Test Kyle XY This Is Not a Test , an episode of Kyle XY , a science fiction television series This Is Not a Test , a song by Bikini Kill from Revolution Girl Style Now This Is Not a Test , a song by Zooey Deschanel from the She & Him album Volume One She & Him album Volume One This Is Not a Test , a song by Christmas from the Ultraprophets Of Thee Psykick Revolution album disambig ...   more details



  1. Test

    PLEASE READ THIS BEFORE EDITING THIS PAGE This is an article ABOUT testing, NOT the correct place to test page editing. If you are looking for a place to experiment with editing Wikipedia, there s a page called the Sandbox that s designed specifically for that purpose. You can access it by going to http en.wikipedia.org wiki Wikipedia Sandbox Like everything here at Wikipedia, of course, you can edit this page if you think you can improve it. selfref This is not a test page. For testing page editing .... See also http test.wikipedia.org Test Wikipedia . pp semi vandalism small yes pp move indef wiktionarypar test TOC right Test , TEST or Tester may refer to Test assessment , an assessment intended to measure the respondents knowledge or other abilities Physical fitness test Driving test Performance test assessment Performance test bar exam In science and technology Concept inventory , an assessment to reveal student thinking on a topic test Unix , a Unix command for evaluating conditional expressions TEST x86 instruction , an x86 assembly language instruction Software testing , the process of verifying that a software program works as expected Experiment , a part of the scientific method Test biology , the shell of sea urchins and certain microorganisms Test method , a definitive procedure that produces a test result Chemical test , a procedure designed to prove the existence of, or to quantify ... about an individual Physical test determine characteristics of a product Statistical hypothesis ... who used the ring name Test Other uses Test match disambiguation , an international sporting contest. River Test , a river in England Tests album Tests album , a 1998 album by The Microphones Tester , a song ... The Test disambiguation disambig ar az Test d qiql dirm ca Test desambiguaci cs Testov n da Test de Test Begriffskl rung es Test fr Test ko lt Testas hu Test egy rtelm s t lap nl Test ja no Test pl Test pt Teste ru sk Test sv Test uk zh Test ...   more details



  1. .test

    Infobox Top level domain name test background 6CC image introduced 1999 type Top level domain Reserved TLDs Reserved top level domain status Reserved to prevent conflict and confusion intendeduse internal testing or for documentation actualuse restrictions structure Those using it for testing can use it in any desired structure document RFC 2606 The name test is reserved by the Internet Engineering Task Force IETF in RFC 2606 June 1999 as a domain name that is not intended to be installed as a top level domain TLD in the global Domain Name System DNS of the Internet for production use. ref name rfc RFC 2606 BCP 32 , Reserved Top Level DNS Names , D. Eastlake, A. Panitz, The Internet Society June 1999 ref Reserved DNS names In 1999, the Internet Engineering Task Force reserved the DNS labels tt .example example tt , tt .invalid invalid tt , tt .localhost localhost tt , and tt test tt so that they may not be installed into the root zone of the Domain Name System. The reasons for reservation of these top level domain names is to reduce the likelihood of conflict and confusion. ref name rfc This allows the use of these names for either documentation purposes or in local testing scenarios. References reflist border 0 align left GTLD force GTLD to float with infobox DEFAULTSORT TEST Category Top level domains ca .test cs .test da .test eu .test fr .test it .test hu .test no .test oc .test pl .test sv Toppdom n Generiska toppdom ner ...   more details



  1. This Is Not a Test!

    Other uses This Is Not a Test disambiguation Infobox Album See Wikipedia WikiProject Albums Name This Is Not a Test Type studio Artist Missy Elliott Cover Missy Elliott This is not a test Album.jpg Released Start date 2003 11 25 br small see Release history release history small Recorded 2002 2003 Genre Hip hop music Hip hop , Contemporary R&B R&B Length 56 05 Label The Goldmind Inc. Goldmind Elektra ... 8.5 10 http www.pitchforkmedia.com article record review 17441 Missy Elliott This Is Not a Test ... 6067976 this is not a test 2003 Robert Christgau A http www.robertchristgau.com get artist2.php ... album Under Construction Missy Elliott album Under Construction br 2002 This album This Is Not a Test br 2003 Next album The Cookbook br 2005 Misc Singles Name This Is Not a Test Type studio single ... This Is Not a Test is the fifth studio album by American rapper Missy Elliott , released by The Goldmind ... anybody would choose to spend their life without a copy of This Is Not a Test is a mystery. ref cite web last Sheffield first Rob date 2003 12 02 title Missy Elliott This Is Not A Test Music Reviews work ... 296896 review 6067976 this is not a test?rating 11 accessdate 2008 11 25 ref Dan Martin of NME gave ... 12 03 title Elliott, Missy This Is Not A Test work NME publisher Robert Tame url http www.nme.com ... does she care about? ref cite web last Catucci first Nick title Missy Elliott This Is Not A Test ... John title This Is Not a Test Overview work Allmusic url Allmusic class album id r665996 pure url yes accessdate 2008 11 25 ref This Is Not a Test placed on Slant Magazine s list of best albums of the 2000s ... br position ARIA Charts Australian ARIA Albums Chart ref name acharts cite web title Missy Elliott This Is Not A Test ... ref name ultratop cite web title Missy Elliott This Is Not a Test album work Ultratop url http www.ultratop.be nl showitem.asp?interpret Missy Elliott&titel This Is Not A Test &cat a accessdate 2008 ... Elektra Records albums cs This Is Not a Test it This Is Not a Test fi This Is Not a Test ...   more details



  1. Likelihood ratio

    Likelihood ratio may refer to Likelihood ratio test , a statistical test for comparing two models. Likelihood ratios in diagnostic testing , ratios based on sensitivity and specificity, used to assess diagnostic tests. Bayes factor , ratio of likelihoods used to update prior probabilities to posterior in Bayes theorem and Bayesian inference . disambig ...   more details



  1. Quick ratio

    Other uses Acid test disambiguation In finance , the Acid test or quick ratio or liquid ratio measures the ability of a company to use its near cash or quick assets to extinguish or retire its current liability current liabilities immediately. Quick assets include those current asset s that presumably can be quickly converted to cash at close to their book value s. A company with a Quick Ratio of less than 1 can not currently pay back its current liabilities. math mbox Quick Acid Test Ratio mbox Cash and Cash Equivalent mbox Marketable Securities mbox Accounts Receivable over mbox Current Liabilities math Note that Inventory is excluded from the sum of assets financially. Ratio are financially viable option for business entities but the liquidity of the liabilities show financial stability. Generally, the acid test ratio should be 1 1 or higher, however this varies widely by industry. ref cite book last Tracy first John A. title How to Read a Financial Report Wringing Vital Signs Out of the Numbers year 2004 publisher John Wiley and Sons isbn 0471646938 page 173 ref In general, the higher the ratio, the greater the company s liquidity i.e., the better able to meet current obligations using liquid assets . ref cite book last Gallagher first Timothy title Financial Management publisher Prentice Hall location Englewood Cliffs year 2003 isbn 0130674885 pages 94 95 ref Notice that very often Acid test refers instead of Quick ratio to Cash ratio math mbox Acid Test Ratio mbox Current Assets mbox Inventory over mbox Current Liabilities math There is also another Quick Ratio which is widely used and computed as below math mbox Quick Ratio mbox Total Assets over mbox Total Liabilities math Total Liabilities excludes Share Capital and Retained Earnings See also Current ratio Financial Accounting References references Category Financial ratios de Acid Test Ratio hr Brzi odnos es Test cido he nl Current ratio ja pl QR ru fi ...   more details



  1. Liquidity ratio

    Liquidity Ratio may refer to Reserve requirement , a bank regulation that sets the minimum reserves each bank must hold. Acid Test Liquidity Ratio , a ratio used to determine the liquidity of a business entity. Liquidity ratio, expresses a company s ability to repay short term creditors out of its total cash. The liquidity ratio is the result of dividing the total cash by short term borrowings. It shows the number of times short term liabilities are covered by cash. If the value is greater than 1.00, it means fully covered. The formula is the following cash & equivalents creditors,short disambig ...   more details



  1. Contrast ratio

    Refimprove date June 2009 The contrast ratio is a property of a display system, defined as the ratio ... of producing. A high contrast ratio is a desired aspect of any display. There is no official, standardized way to measure contrast ratio for a system or its parts, nor is there a standard for defining Contrast Ratio that is accepted by any standards organization so ratings provided by different ... in the room would come from the display device. With such a room, the contrast ratio of the image would be the same as the contrast ratio of the display device device . Real rooms reflect some of the light back to the displayed image, lowering the contrast ratio seen in the image. Moving from a system ... slightly complicates the definition of the contrast ratio, because of the need to take into account the extra temporal dimension to the measuring process. Thus the ratio of the luminosity of the brightest ... is called static contrast ratio , while the ratio of the luminosity of the brightest and the darkest color the system is capable of producing over time is called dynamic contrast ratio . Methods of measurement ... out the effect of the room and results in an ideal ratio. Equal proportions of light reflect ... to white luminance ratio unaffected. Some manufacturers have gone as far as using different device parameters for the three tests, even further inflating the calculated contrast ratio. With Digital ... contrast ratio ref This practice is rather dubious, as it will be impossible to reproduce ... the measurement is done with a checker board patterned test image where the black and white luminosity ..., if the test is not performed in a room that is close to ideal. It is useful to note that the full on full off method effectively measures the dynamic contrast ratio of a display, while the ANSI contrast measures the static contrast ratio. Dynamic Contrast DC A notable recent development .... This gives the benefit of realizing the potential static contrast ratio of the LCD panel in dark scenes ...   more details



  1. Compression ratio

    For compression ratio in data compression data compression ratio Refimprove date May 2009 The compression ratio of an internal combustion engine or external combustion engine is a value that represents the ratio of the volume of its combustion chamber from its largest capacity to its smallest capacity. It is a fundamental specification for many common combustion engines. In a piston engine it is the ratio ... Compression ratio url http www.britannica.com EBchecked topic 130313 compression ratio accessdate 2009 ... the head or combustion chamber has been reduced to 100  cc, then the compression ratio would be proportionally described as 1000 100, or with fractional reduction, a 10 1 compression ratio. A high compression ratio is desirable because it allows an engine to extract more mechanical energy from ... autoignition will cause late ignition which will also lead to engine knock. Formula The ratio is calculated ... pinging detonation , the compression ratio in a gasoline or petrol powered engine will usually not be much ... exceed 14 1. Ratios over 22 1 are common. The appropriate compression ratio depends on the design ... ratio based on cylinder pressure. If the nominal compression ratio of an engine is given, the pre ... at 1 atm, math text CR math is the compression ratio, and math gamma math is the specific heat ratio ... running on gasoline has a compression ratio of 10 1, the cylinder pressure at top dead ... times the compression ratio, or in this case between 150 psi and 200 psi, depending on cam timing ... low figure from this test. Excessive connecting rod clearance, combined with extremely high ... test does give a low figure, and it has been determined it is not due to intake valve closure camshaft ... seal. If a second compression test is performed shortly thereafter, and the new reading is much higher, it would be the ring seal that is problematic, whereas if the compression test pressure observed ... test using a leak down tester can locate the leak. Saab variable compression engine Because ...   more details



  1. E/A ratio

    E A Ratio is a recording of time intervals of the heart filling with Blood in phases of pumping and backfilling. In a young and compliant heart, most of the filling of the ventricles is achieved early in the first heart phase known as Systole . In an aging, less compliant heart late filling tends to reverse this ratio towards the time phase of Diastole . Viewed as such, reversal of the E A ratio is widely accepted as a clinical marker of Diastolic Heart Failure . cleanup date September 2010 The E A ratio is the ratio between early E and late atrial A ventricular filling velocity . The early E diastolic one is caused by accumulation of blood in the atria during previous systole, and second, a late one created by atrial contraction A . It can be estimated by doppler echocardiography . ref name Mohamed In diastolic dysfunction , a greater portion of end diastolic volume results from late filling rather than early filling. Therefore, the E A ratio is reduced in diastolic dysfunction. ref name Mohamed http www.bioline.org.br request?mj04008 Abdul Latif Mohamed, Jun Yong, Jamil Masiyati, Lee Lim, Sze Chec Tee. The Prevalence Of Diastolic Dysfunction In Patients With Hypertension Referred For Echocardiographic Assessment of Left Ventricular Function. Malaysian Journal of Medical Sciences, Vol. 11, No. 1, January 2004, pp. 66 74 ref The late phase is dependent upon atrial contraction and is therefore absent in patients with atrial fibrillation , making the E A ratio very large. ref name Mohamed The E A ratio is a first generation test for diastolic performance of the heart. Diastolic ... factor is the driving gradient between the atrial and ventricular pressure. The E A ratio is measured ... the valve. Hence the other names for the test transmitral velocity profile or transmitral doppler ... ie E is A 3. Pseudonormal E A ratio appears normal 4. Restrictive filling E A ratio often 2 ... in alterations, whereas bradycardia actually increases the E A ratio. These are some of the disadvantages ...   more details



  1. Ratio distribution

    A ratio distribution or quotient distribution is a probability distribution constructed as the distribution of the ratio of random variable s having two other known distributions. Given two random variables X and Y , the distribution of the random variable Z that is formed as the ratio math Z X Y , math is a ratio distribution . The Cauchy distribution is an example of a ratio distribution. The random variable associated with this distribution comes about as the ratio of two normal distribution Gaussian ... ratio distribution . A number of researchers have considered more general ratio distributions ... title On the Ratio of Two Correlated Normal Random Variables journal Biometrika volume 56 issue ... Hayya , Donald Armstrong and Nicolas Gressis title A Note on the Ratio of Two Normally Distributed ... 03610920600683689 title Density of the Ratio of Two Normal Random Variables and Applications author T. Pham Gia , N. Turkkan and E. Marchand ref Two distributions often used in test statistics, the t distribution t distribution and the F distribution F distribution , are also ratio distributions The t distributed random variable is the ratio of a Gaussian distribution Gaussian random variable divided ... square distribution , while the F distributed random variable is the ratio of two independent chi square distribution chi square distributed random variables. Often the ratio distributions are heavy ... test . A method based on the median has been suggested as a work around ref Cite journal title Significance ... ref . Algebra of random variables main Algebra of random variables The ratio is one type of algebra for random variables Related to the ratio distribution are the product distribution , sum distribution ... and a ratio is D C A it does not necessarily mean that the distributions of D and B are the same. Indeed, a peculiar effect is seen for the Cauchy distribution The product and the ratio of two independent ... distribution as itself a ratio distribution of two Gaussian distributions Consider two Cauchy ...   more details



  1. Odds ratio

    wish to test the hypothesis that the population odds ratio equals one, the two sided p value is 2 ...The odds ratio ref cite journal last Cornfield first J journal Journal of the National Cancer Institute ... for paired binary data such as the relative risk , the odds ratio treats the two variables ... Definition in terms of group wise odds The odds ratio is the ratio of the odds of an event occurring ... based estimates of this ratio. These groups might be men and women, an experimental group and a control ... ratio is math p 1 1 p 1 over p 2 1 p 2 p 1 q 1 over p 2 q 2 frac p 1q 2 p 2q 1 , math where q sub x sub     1  &minus   p sub x sub . An odds ratio of 1 indicates that the condition or event under study is equally likely to occur in both groups. An odds ratio greater than 1 indicates that the condition or event is more likely to occur in the first group. And an odds ratio less than 1 indicates that the condition or event is less likely to occur in the first group. The odds ratio ... in terms of joint and conditional probabilities The odds ratio can also be defined in terms of the joint ... 00 p 01 p 00 math center Thus the odds ratio is math dfrac p 11 p 11 p 10 p 10 p 11 p 10 bigg dfrac ... the odds ratio based on the conditional probabilities given Y , center class wikitable style ... y math math 1 p x 1 p y math center In this case, the odds ratio equals one, and conversely the odds ratio can only equal one if the joint probabilities can be factored in this way. Thus the odds ratio ... probabilities from the odds ratio and marginal probabilities The odds ratio is a function of the cell ... ratio and the marginal probabilities P X     1     p sub 11 sub     p sub 10 sub and P Y     1     p sub 11 sub     p sub 01 sub . If the odds ratio R ... probabilities. Example Image odds ratio map.svg 300px right thumb A graph showing how the log odds ratio relates to the underlying probabilities of the outcome X occurring in two groups, denoted A and B ...   more details



  1. X:A ratio

    expert subject Genetics date May 2008 unreferenced date May 2008 The X A ratio is the ratio between the X chromosome and the number of sets of autosome s in an organism . This ratio is used primarily for determining sex of drosophila flies. Generally, a 1 1 ratio results in a female and a 1 2 ratio results in a male. When calculating the ratio, Y chromosomes are ignored. For example, for a triploid drosophila that has XXX, the ratio is 1 1 3 Xs to 3 autosomes, since it is a triploid . For a diploid drosophila that has XY, the ratio is 1 2 1 X to 2 autosomes, since it is diploid . Category Genetics ...   more details



  1. Retention ratio

    orphan date August 2008 Retention Ratio indicates the percentage of a company s earnings that are not paid out in dividends but credited to retained earnings . It is the opposite of the dividend payout ratio , so that also called the retention rate. Retention Ratio 1 Dividend Payout Ratio Retained Earnings Net Income Retention ratio is also called plowback ratio . Category Finance finance stub ...   more details



  1. Mixing ratio

    The term mixing ratio can refer either to mole ratio or mass ratio. ref http goldbook.iupac.org M03948.html ref Mole ratio In atmospheric chemistry , mixing ratio usually refers to the mole ratio math r i math , which is defined as the amount of substance amount of a constituent math n i math divided by the total amount of all other constituents in a mixture math r i frac n i n tot n i math The mole ratio is also called amount ratio . ref http www.iupac.org publications pac 80 2 0233 ref If math n i math is much smaller than math n tot math which is the case for atmospheric trace constituents , the mole ratio is almost identical to the mole fraction . Mass ratio In meteorology , mixing ratio usually refers to the mass ratio math zeta i math , which is defined as the mass of a constituent math m i math divided by the total mass of all other constituents in a mixture math zeta i frac m i m tot m i math The mass ratio of water vapor in air can be used to describe Humidity Mixing ratio or humidity ratio humidity . References Reflist Category Analytical chemistry Category Chemical properties ...   more details



  1. Golden ratio

    based on the golden ratio by applying these constructions to the plan of the mosque to test their hypothesis ... devised to test the idea that the golden ratio plays a role in human perception of beauty . While ...For the Ace of Base album The Golden Ratio album Image Golden ratio line.svg right thumb 225px The golden section is a line segment divided according to the golden ratio The total length font color green ... s, two quantities are in the golden ratio if the ratio of the sum of the quantities to the larger quantity is equality mathematics equal to the ratio of the larger quantity to the smaller one. The golden ratio is an irrational number irrational mathematical constant , approximately 1.6180339887. ref name quadform Other names frequently used for the golden ratio are the golden section Latin sectio ... Ratio The Story of Phi, The World s Most Astonishing Number publisher Broadway Books location New ... NJ Associated University Presses, 1996 ref ref name dunlap Richard A Dunlap, The Golden Ratio and Fibonacci ... ratio , ref name Elements 6.3 Euclid, http aleph0.clarku.edu djoyce java elements toc.html Elements ... the golden ratio is denoted by the Greek alphabet Greek lowercase letter Phi letter phi math varphi ... to understanding. Thank you. ref name quadform The golden ratio can be derived by the quadratic ... ratio especially in the form of the golden rectangle , in which the ratio of the longer side to the shorter is the golden ratio believing this proportion to be aesthetics aesthetically pleasing. Mathematician s have studied the golden ratio because of its unique and interesting properties ... quantities a and b are said to be in the golden ratio if math frac a b a frac a b varphi ,. math ... of Greek sculptor Phidias , phi , to symbolize the golden ratio. Usually, the lowercase form ... ratio, 1 . ref name MathWorld GR Conjugate The golden ratio has fascinated Western intellectuals ... over this simple ratio and its properties. But the fascination with the Golden Ratio is not confined ...   more details



  1. Equity ratio

    Unreferenced date January 2008 Cleanup date September 2010 The equity ratio is a financial ratio indicating the relative proportion of Equity finance equity used to finance a company s assets. The two components are often taken from the firm s balance sheet or statement of financial position so called book value , but the ratio may also be calculated using market values for both, if the company s equities are publicly traded. The equity ratio is especially in Central Europe a very common financial ratio while in the US the debt to equity ratio is more often used in financial research reports. Equity Ratio Owners Equity Total Assets Example Equity ratio 12 shareholder s equity total assets USD 79,180,000 USD 647,483,000 The Equity Ratio is a good indicator of the level of leverage used by a company. The Equity ratio measures the proportion of the total assets that are financed by stockholders and not creditors. The calculation of equity ratio is Total shareholder s equity Owner s Equity Total Assets A low equity ratio will produce good results for stockholders as long as the company earns a rate of return on assets that is greater than the interest rate paid to creditors. See also Debt to equity ratio Leverage finance DEFAULTSORT Equity Ratio Category Financial ratios de Eigenkapitalquote ja sv Soliditet ...   more details



  1. Financial ratio

    Quick ratio Acid test ratio Quick ratio ref name Groppelli, p. 435 math frac mbox Current Assets Inventories Prepayments mbox Current Liabilities math Cash ratio ref name Groppelli, p. 435 math frac mbox ...Corporate Finance accounting A financial ratio or accounting ratio is a relative magnitude of two selected ..., especially ratios that are usually more than 1, such as P E ratio these latter are also called multiples. Given any ratio, one can take its Reciprocal mathematics reciprocal if the ratio was above ... the P E ratio cannot be for example, a P E ratio of 20 corresponds to an earnings yield of 5 . Sources ... which the ratio measures. Liquidity ratios measure the availability of cash to pay debt ... Equity math Return on investment ROI ratio or Du Pont Ratio ref name Groppelli, p. 445 math ... ratio math frac mbox Non Interest expense mbox Revenue math Net gearing math frac mbox Net debt mbox Equity math Basic Earnings Power Ratio ref Cite book last Weston first J. title Essentials of Managerial ... the availability of cash to pay debt. Current ratio Current ratio Working Capital Ratio ref name Groppelli ... flow ratio math frac mbox Operation Cash Flow mbox Total Debts math Activity ratios Efficiency Ratios ... Income mbox Percent Change in Sales math DSO Ratio . ref cite book author Houston, Joel F. Brigham ... frac mbox Net Sales mbox Total Assets math Stock turnover ratio ref Groppelli, p. 438. ref ref Weygandt ... Sold mbox Average Inventory math Receivables Turnover Ratio ref Weygandt, J. J., Kieso, D. E., & Kell ... Inventory conversion ratio ref name Groppelli, p. 439 math frac mbox 365 Days mbox Inventory Turnover ... ratios measure leverage finance financial leverage . Debt ratio ref Groppelli, p. 440 Williams, p. 640. ref math frac mbox Total Liabilities mbox Total Assets math Debt to equity ratio ref name Groppelli ... Long term Debt mbox Total Assets math Times interest earned ratio Interest Coverage Ratio ref name ... mbox Annual Interest Expense math Debt service coverage ratio math frac mbox Net Operating Income ...   more details



  1. Correlation ratio

    Mergeto intraclass correlation coefficient date June 2009 In statistics , the correlation ratio is a measure of the relationship between the statistical dispersion within individual categories and the dispersion across the whole population or sample. Suppose each observation is y sub xi sub where x indicates the category that observation is in and i is the label of the particular observation. Let n sub x sub be the number of observations in category x and math overline y x frac sum i y xi n x math and math overline y frac sum x n x overline y x sum x n x , math where math overline y x math is the mean of the category x and math overline y math is the mean of the whole population. The correlation ratio eta letter eta is defined as to satisfy math eta 2 frac sum x n x overline y x overline y 2 sum x,i y xi overline y 2 math which can be written as math eta 2 frac sigma overline y 2 sigma y 2 , text where sigma overline y 2 frac sum x n x overline y x overline y 2 sum x n x text and sigma y 2 frac sum x,i y xi overline y 2 n , math i.e. the weighted variance of the category means divided by the variance of all samples. It is worth noting that if the relationship between values of math x math and values of math overline y x math is linear which is certainly true when there are only two possibilities for x this will give the same result as the square of the correlation coefficient , otherwise the correlation ratio will be larger in magnitude. It can therefore be used for judging non linear relationships. Range The correlation ratio math eta math takes values between 0 and 1. The limit ... value. Example Suppose there is a distribution of test scores in three topics categories Algebra 45 ... v. Fisher The correlation ratio was introduced by Karl Pearson as part of analysis of variance . In Statistical ... the utility of the correlation ratio is extremely limited. It will be noticed that the number ... established method such as the use of the correlation ratio 45 The Correlation Ratio is passed ...   more details




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