Kolmogorov smirnov testi

SPSS Kolmogorov-Smirnov Test for Normality - The Ultimate Guid

  1. Sven, I haven’t yet implemented software versions of chi-square or KS to test for a fit with a specific distribution. The One Sample Kolmogorov-Smirnov Test and Goodness of Fit webpages explain how this can be done, however. Charles
  2. Bu testler Kolmogorov-Smirnov ve Shapiro-Wilk testidir. Kolmogorov-Smirnov testi gözlem sayısı 50nin üzerinde ise, Shapiro-Wilk testinin ise örneklem sayının 50nin altında ise kullanılması..
  3. with your tool it is possible to use the Shapiro-Wilk-Test on a time series and get a besides the p-value a “yes” or “no” for the normal assumption. Therefore I can do this test for multiple series parallel with only one formula which is very nice.
  4. Performs one or two sample Kolmogorov-Smirnov tests. Leon Jay Gleser (1985), Exact Power of Goodness-of-Fit Tests of Kolmogorov Type for Discontinuous Distributions
  5. I have scale of loneliness and results can be 10-20 – low loneliness 20-30 – average loneliness 30-40 – high loneliness so I calculate:
  6. Ruben, If you send mean Excel file with your data and the KS test that you have conducted I will try to figure out what is going on. You can send the file to the email listed on the Contact Us webpage. Note: You should use the Lilliefors version of the KS test for normality when you are estimating the the population mean and variance from the sample mean and variance. Charles
  7. 15.11.6 Kolmogorov-Smirnov Test. The one sample Kolmogorov-Smirnov subcommand is used to test whether or not a dataset is drawn from a particular distribution

28 As pointed out in the ks.test help, you have to give to the ks.test function the arguments of pnorm. If you do not precise mean and standard variation, the test is done on a standard gaussian distribution. Thanks for your application Real Statistics is ver useful However, I have some questions about the Kolmogorov-Smironov test. I have a huge sample of 3160 observations. My sample desribe a normal distribution, I can say that is a ideal sample. When I conduct K-S test on this data the null hypothesis is rejected. Why does it happen? I could expect that Ho was accepted! thanks for your response but I am new in this test,

Критерий Лил-лифорса реализован в функции lillie.test(): > lillie.test(rnorm(100, mean = 6, sd = 4)); Lilliefors (Kolmogorov-Smirnov) normality test Now suppose that the sample comes from a population with cumulative distribution function F(x) and define Dn as follows:

Kolmogorov-Smirnov Test of Normality in Excel - YouTub

  1. For each statistical test where you need to test for normality, we show you, step-by-step, the procedure in SPSS Statistics, as well as how to deal with situations where your data fails the assumption of..
  2. 3 Two-sample Kolmogorov-Smirnov test. 4 Setting confidence limits for the shape of a distribution The goodness-of-fit test or the Kolmogorov-Smirnov test can be constructed by using the critical..
  3. Sally, Sorry, but I don’t understand your question. In any case I will be adding the KS p-value shortly. Charles
  4. ..and Kolmogorov-Smirnov tests as well as one-sample and two-samples t-tests, one-way and References to more detailed description of each of the abovementioned tests are also given
  5. Hi all, I am trying to fit an appropriate probability distribution with my data. I have known that I can use K-S test, but my problem is that, as I am going to use MATLAB or EXCEL softwares for this purpose, I do not know how I can use these softwares for this test. My problem is that I have not ever seen any example of this test for exponential or other distributions rather than normal and lognormal distributions. How can I decide whether for example lognormal distribution is appropriate or exponential distribution? Thank you very much for your help inn advance.
  6. George Marsaglia, Wai Wan Tsang and Jingbo Wang (2003). Evaluating Kolmogorov's distribution. Journal of Statistical Software, 8/18. doi: 10.18637/jss.v008.i18. Kolmogorov-Smirnov Goodness-of-Fit Tes

  1. How does one compute the p-value ? Is it the probability of F(Max Dn + Sn(x)) ? And do you know where does this D comes from ?
  2. Kolmogorov-Smirnov tests have the advantages that (a) the distribution of statistic does not depend on cumulative distribution function being tested and (b) the test is exact. They have the disadvantage..
  3. Unfortunately, this is the nature of statistics. If you get a p-value of .0003 you are fairly confident of your result (at least as far as type I error is concerned), but often depending on which test you choose to use (or which version of a test you use), you might get different outcomes.

Implementation of the Kolmogorov-Smirnov (K-S) test for equality of continuous distributions. The K-S test uses a statistic based on the maximum deviation of the empirical distribution of sample data.. In statistical learning, the Kolmogorov-Smirnov test is used to check whether 2 samples follow the same distribution. In this article, I will show how to perform statistical hypothesis test using Spark..

Hello Robert, There are many algorithms for estimating the cdf of the normal distribution. The following webpages show various techniques: https://people.sc.fsu.edu/~jburkardt/f_src/asa066/asa066.html http://www.hrpub.org/download/20140305/MS7-13401470.pdf http://www.stat.tamu.edu/~jnewton/604/chap3.pdf I don’t whether Excel uses one of these or a different approach. Note that once you have implemented the case where mean = 0 and sd = 1, the rest is easy. E. NORM.DIST(x,m,s,TRUE) = NORM.S.DIST((x-m)/s,TRUE). 2. Yes, you can use the KS test for this. Other tests are more accurate. I prefer the Shapiro-Wilk test, but you can choose from a variety of tests as described at Normality Tests CharlesColumn E uses the mean and standard deviation calculated previously to standardize the values of x from column A. E.g. the formula in cell E4 is =STANDARDIZE(A4,N$5,N$10), where cell N5 contains the mean and cell N10 contains the standard deviation. Column F uses these standardized values to calculate the cumulative distribution function values assuming that the original data is normally distributed. E.g. cell F4 contains the formula =NORMSDIST(E4). Finally column G contains the differences between the values in columns D and F. E.g. cell G4 contains the formula =ABS(F4—D4). If the original data is normally distributed these differences will be zero.

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Dear Sir, Thank you for sharing this. I have a question: why in the first example we calculate the Z-score with x=100, 200, etc., but with mean and standard deviation calculated from the mid points (150, 250, etc.)? Shouldnt’e be correct to have the mid points of the intervals in column A for Z-score calculation? Best regards, Gianma Kolmogorov-Smirnov test of normality. en However, the Kolmogorov-Smirnov test rejects the hypothesis of normality for all four variables with a 1% margin of error

SPSS İle Veri Analizi – Normal Dağılım Testleri

Kolmogorov-Smirnov Test for Normality Real Statistics Using Exce

  1. My Kolmogorov-Smirnov is 0.000 significant, yet my supervisor wants me to have significant result, which is above 0.05, pleaseeeee someone help me. I don’t know how to to get significant result and what is affecting the komogorov test to increase or decrease
  2. e if two samples have been drawn from the same probability distribution. The Kolmogorov-Smirnov test has an interesting advantage in which it does..
  3. e whether there is a significant difference between the means of the two groups, you probably want to use the t test (if the data in the two groups are normally distributed) or the Mann-Whitney test if they are not. You could also use the two-sample Kolmogorov-Smirnov Test to deter
  4. g a continuous (cumulative) distribution function, or such a function. In this case, a one-sample test is carried out of the null that the distribution function which generated x is distribution y with parameters specified by ....
  5. Examples 1 and 2 on the referenced webpage explain how to compute the cumulative distribution function F(x). Charles
  6. Kolmogorov-Smirnov Test - Simple Example. So say I've a population of 1,000,000 people. I think their reaction times on some task are perfectly normally distributed
  7. HypothesisTestData  AndersonDarlingTest  CramerVonMisesTest  DistributionFitTest  JarqueBeraALMTest  KuiperTest  MardiaCombinedTest  MardiaKurtosisTest  MardiaSkewnessTest  PearsonChiSquareTest  ShapiroWilkTest  WatsonUSquareTest

statistics - Kolmogorov-Smirnov test in R - Stack Overflo

  1. ation as to whether a distribution - usually a sample distribution - matches the..
  2. In statistics, the Kolmogorov-Smirnov test (K-S test or KS test) is a nonparametric test of the equality of continuous (or discontinuous, see Section 2.2), one-dimensional probability distributions that can be used to compare a sample with a reference probability distribution (one-sample K-S test)..
  3. g language 2: I would like to assess whether a set of 25 events with a continuous x-value between -2 and 2 is normally distributed. I plan to use the KS test for this, does that make sense?
  4. Statistics - Kolmogorov Smirnov Test - This test is used in situations where a comparison has to be made between an observed sample distribution and theoretical distribution
  5. KSPROB(x, n, tails, iter, interp, txt) = an approximate p-value for the KS test for the Dn value equal to x for a sample of size n and tails = 1 (one tail) or 2 (two tails, default) based on a linear interpolation (if interp = FALSE) or harmonic interpolation (if interp = TRUE, default) of the values in the Kolmogorov-Smirnov Table, using iter number of iterations (default = 40).
  6. Shapiro-Wilk, Kolmogorov-Smirnov ve basıklık- çarpıklık (skewness- kurtosis) değerlerinin incelenmesi oldukça objektif ve popüler analitik test yöntemlerdir. Bu yöntemler aşağıda ayrıntılı..
  7. ing whether data is normal when you use the sample mean and standard deviation. See the following webpage:

ks.test(x, "pnorm", 1, 2) #or ks.test(x, "pnorm", mean=1, sd=2) share|improve this answer| follow |||| answered Nov 3 '14 at 14:10 PopPop 10.5k33 gold badges4646 silver badges6161 bronze badges add a comment  |  2 I think it would be better to use mean=mean(x) and sd=sd(x) like Anahtar Kelimeler: Ki-Kare, Kolmogorov-Smirnov Testi, Simülasyon. Abstract The Comparation of Goodness-of-fit Tests of Chi-Square and Kolmogorov Simirnov with. Data Obtained by Simulation Now Dn = the largest value in column G, which in our case is 0.0117. If the data is normally distributed then the critical value Dn,α will be larger than Dn. From the Kolmogorov-Smirnov Table we see that

Kolmogorov-Smirnov Calculator (Test of Normality Algorithms (Two-Sample Kolmogorov-Smirnov Test). KS-Test-Algorithm. The distribution of the statistic converges asymptotically to a distribution given by Smirnov as and increase Kolmogorov-Smirnov test. From Wikipedia, the free encyclopedia. Jump to navigation Jump to search. The Kolmogorov-Smirnov test can be modified to serve as a goodness of fit test Wilson, This is the formula for f(x), the pdf, and not the cdf, cumulative distribution function. The formula that you are looking for is the integral of f(x). Charles

KolmogorovSmirnovTest—Wolfram Language Documentatio

Kolmogorov-Smirnov Test. The Kolmogorov-Smimov (referred to as KS henceforth) statistic belongs to the supremum class of EDF. statistics and this class of statistics is based on the largest vertical.. Example 2: Using the KS test, determine whether the data in Example 1 of Graphical Tests for Normality and Symmetry is normally distributed. One-sample Kolmogorov-Smirnov test. data: x D = 0.3427, p-value < 2.2e-16 alternative hypothesis: two-sided. The p-value is very low whereas the test should accept the null-hypothesis Hello Jon, I am not sure where the error is, but I notice that you never used the values calculated in column F. In any case, the Real Statistics KSSTAT calculates the KS statistics and the formula =KSSTAT(B4:B48) returns the value 0.160952, the same as SPSS. =KSSTAT(B4:B47) returns 0.132926. Charles

Columns A and B contain the data from the original frequency table. Column C contains the corresponding cumulative frequency values and column D simply divides these values by the sample size (n = 1000) to yield the cumulative distribution function Sn(x) P.S. I have learned more practical statistics from your site than my undergrad and masters professors have been able to drill into me… Well done, Sir!Thank you very much Charles. I dont know if I get it right, about numbers in column A (x values). Let me explain on this example. The Kolmogorov-Smirnov test is a hypothesis test procedure for determining if two samples of data are from the same distribution. The test is non-parametric and entirely agnostic to what this..

Stack Overflow for Teams is a private, secure spot for you and your coworkers to find and share information. Great article. I know understand how you calculate the P value for the KS test. Thanks so much. However when I try to replicate in excel, the NORMDIST function does not return the same values. Is there something different you are doing, as excel is asking me for the mean and stDev (which i input) but does not return the same values you have in your sheetI would need to see the calculations that you made. If you send me an Excel fil with the calculations you made, I will try to figure out what the issue is. CharlesYoan, In general, I recommend Shapiro-Wilk over KS or Chi-squared. SW does a better job of determining that data from a normal distribution is normal and data that is not from a normal distribution is not normal. Charles

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César, Sorry, but I have not yet implemented this is the Real Statistics addin. This value depends on the specific distribution that you are trying to fit and since there are so many distribution, I haven’t tried to create a single formula for this. I will look into doing this shortly. CharlesCan we use the Kolmogorov Smirnov test if we want to know whether the data follow a binomial distribution?

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Hi Charles I have read somewhere that the KS test is invalid if we use the data to find the location, shape and scale parameters. That is to say that the distribution need to be fully specified before hand for us to use this test. The examples all use the data to find the parameters of the distribution ! Kolmogorov Smirnov Test Calculator. Online statistics calculator helps to determine maximum value of normal distribution using Kolmogorov Smirnov (KS) method KSCRIT(n, α, tails, interp) = the critical value of the Kolmogorov-Smirnov test for a sample of size n, for the given value of alpha (default = .05) and tails = 1 (one tail) or 2 (two tails, default), based on the KS Table. If interp = TRUE (default) harmonic interpolation is used; otherwise linear interpolation is used.


I was wondering is there any way in which the Kolmogorov-Smirov test can be used to show that two histograms are statistically similar? i.e. similar distribution, similar peaks etc… or is it best just to show that they’re both normally distributed (or otherwise)? What is Kolmogorov-smirnov (k-s) goodness of fit Test? when to use it and how interpret the output results? Kolmogorov-Smirnov Test Is a nonparametric test.

Smirnov test (better known as Kolmogorov-Smirnov test) is based on V. Smirnov, On the estimation of the discrepancy between empirical curves of distributions. Kolmogorov-Smirnov test — In statistics, the Kolmogorov ndash;Smirnov test (also called the K S test for brevity) is a form of minimum distance estimation used as a nonparametric test of equality of.. To use this calculator, simply enter your data into the text box below, either one score per line or as a comma delimited list, and then press the "Calculate" button. Chi-squared test. Kolmogorov-Smirnov test. More analytical tools for ODE's and Iterative maps: phase portraits Thanks alot sir, but do A.D test will also have same problem with the repeated data values. How A.D test can be conducted on grouped data? I have conducted K-S test and Lilliefors test on my grouped data but both have two differnt results K-S test shows data is normally distributed whereas lilliefors test shows it is not. Sir,pls suggest. Highly grateful

The Kolmogorov-Smirnov Test. As a first step, let's generate some data we can play with. We'll generate two data sets, one that is distributed exponentially, and one that is not Charles, can you help me with what kind of normality test & hypothesis test that I should use with my survey? In statistics, the Kolmogorov-Smirnov test is a nonparametric test of the equality of continuous For faster navigation, this Iframe is preloading the Wikiwand page for Kolmogorov-Smirnov test Two-sample Kolmogorov-Smirnov test for differences in the shape of a distribution. Kolmogorov - Smirnov Test [K-S Test]. Hace 2 años. Computer Simulation and Modelling For more.. Dear Sir, Your example no 1 has proved highly useful to me. It is the example of grouped data, for which I was looking for, highly thankful. Sir can you explain how to apply Shapiro test on same example no 1 or anyother example of grouped data. Shall be grateful

Hello, I am not the person who released videos on performing the KS test in SPSS. In any case, you can perform the KS test with a categorical or ordinal independent variable. The dependent variable must be numeric. You can use ordinal data 1, 2, 3, 4, as long as you treat them as numeric data. See Kolmogorov-Smirnov Test. CharlesHi Imran, If you are conducting the KS test using the sample mean and variance then you should use the Liliefors test and not the KS test. The AD test does not have the same problem as the Shapiro/Wilk test. Charles Kolmogorov-Smirnov test to compare two groups. Perform many t tests at once, using False Discover Rate (or Bonferroni multiple comparisons) to choose which comparisons are discoveries to..

Since Dn = 0.1874988 < 0.338 = Dn,α, we conclude that the data is a reasonably good fit with the normal distribution (more precisely that there is no significant difference between the data and data which is normally distributed). Note that is not the same conclusion we reached from looking at the histogram and QQ plot.Hi Charles, you are doing a great job by helping. I have my data on three variables, Income, Consumption, and Household size. the sample size is 250. I am stuck in normality. Can you help me test it so that i could defend it in my defense?

R: Kolmogorov-Smirnov Test

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One-sample Kolmogorov-Smirnov test - MATLAB kstes

When i use KSCRIT(n=60 ; alpha=0.05) i get 0.1753, and when i use KSPROB(X=0.1753 ; n=60) the value is 0.0109. I checked the KS Critic but the obtained value for KSPROB is not logical even in the Kolmogorov Smirnov Table). Does function KSPROB has any restriction or problem?. Key facts about the Kolmogorov-Smirnov test The two sample Kolmogorov-Smirnov test is a • Don't use the Kolmogorov-Smirnov test if the outcome (Y values) are categorical, with many ties Kolmogorov-Smirnov Test sonuçlarına göre aylık Fatura ödeme verisi normal dağılım göstermektedir. Çünkü, Asymp.Sig. değeri 0.200>0.05dir. Yani, Normallik sınaması için kurulan H0 hipotezi Kabul.. Definition 1: Let x1,…,xn be an ordered sample with x1 ≤ … ≤ xn and define Sn(x) as follows:

The two sample Kolmogorov-Smirnov test is a nonparametric test

In general, the Kolmogorov - Smirnov test (Kolmogorov 1933; Smirnov 1933; also see Conover [1999], 428 - 465) is not very powerful against differences in the tails of distributions Two-sample Kolmogorov-Smirnov test for differences in the shape of a distribution. Performing ks.test function in R. Definition of a cumulative distribution function (CDF) Kolmogorov-Smirnov Test Example. We generated 1,000 random numbers for normal, double exponential, t with 3 degrees of freedom, and lognormal distributions I think that my website has a pretty good explanation of the Kolmogorov-Smirnov Test. You should also look at the following webpages: One Sample Kolmogorov-Smirnov Test Lilliefors Test Charles

М.: Наука, 1983. Lilliefors H.W. On the Kolmogorov-Smirnov test for normality with mean and Kac M., Kiefer J., Wolfowitz J. On Tests of Normality and Other Tests of Goodness of Fit Based on.. Dear Charles Is it possible to get a conflicting result when the explore command and the one sample K-S are used to check the normality of the same data? I would like to know the interpretation of two sample Kolmogorov-Smirnov test results. I have two sample groups- 0 and 1. I entered Stata command, ksmirnov (Kolmogorov-Smirnov testinin sonuçları, veri sayısının az olduğu durumlarda dikkate alınabilir.) Bunu E-postayla Gönder BlogThis! Twitter'da Paylaş Facebook'ta Paylaş Pinterest'te Paylaş

در پنجره One-Sample Kolmogorov-Smirnov Test متغیر مربوط به آزمون را در کادر Test Variable List قرار دهید. با انتخاب توزیع نرمال (Normal) در کادر Test Distribution، توزیع مورد نظر برای.. Kolmogorov-Smirnov test in R Ask Question Asked 5 years, 6 months ago Active 5 months ago Viewed 51k times .everyoneloves__top-leaderboard:empty,.everyoneloves__mid-leaderboard:empty,.everyoneloves__bot-mid-leaderboard:empty{ margin-bottom:0; } 21 6 I tried to use the Kolmogorov-Smirnov test to test normality of a sample. This is a small simple example of what I do:Thus, the mean is 481.4 and the standard deviation is 155.2. We can now build the table that allows us to carry out the KS test, namely:

Statistics - Kolmogorov Smirnov Test - Tutorialspoin

Since Dn = 0.0117 < 0.043007 = Dn,α, we conclude that the data is a good fit with the normal distribution.Sorry, but I don’t understand your question. You don’t do simulations to make data fit a distribution. If you knew the data was normally distributed then you wouldn’t need to perform the KS test. Please clarify what you are trying to do. Charles

Example 1: Determine whether the data represented in the following frequency table is normally distributed. Twosample Kolmogorov-Smirnov test The Kolmogorov-Smirnov test can test whether two underlying onedimensional probability distributions differ. The Kolmogorov-Smirnov statistic is You can use the one sample KS test as described on the webpage One Sample KS Test The only problem is that the test is more accurate if you know the mean of the distribution instead of estimating it from the sample.

Kolmogorov-Smirnov Tes

Kolmogorov-Smirnov Test - смотри бесплатно и без рекламы в видеоплеере о What is Kolmogorov-smirnov (k-s) goodness of fit Test? when to use it and how interpret the output results Der Kolmogorov-Smirnov-Test ist ein Test, mit dem Du Deine Stichprobenergebnisse auf Übereinstimmung mit einer vermuteten Verteilung testen kannst

ks.test(x, y, ..., alternative = c("two.sided", "less", "greater"), exact = NULL) Arguments x a numeric vector of data values. Kolmogorov-simirnov sınaması. Kolmogorov smirnov test ingilizcede ne demek, Kolmogorov Kolmogorov smirnov test synonyms : a priori probability, a b model, a priori analysis, aalen.. I realize that depending on the choice you make you might come to a different conclusion. This is why it is important to view significance values such as alpha = .05 not as absolute things. In fact if you set alpha = .05 as your significance value, any p-value near .05 can be viewed with some caution.Sandeep, If I understand your original question correctly, then you should use the mean and std dev, esp. since Excel has the LOGNORM.DIST function available which use these two parameters. Why do you think the median and σlnz might be good choices? Perhaps this is correct and I am not answering the right question. Charles

KolmogorovSmirnovTest performs the Kolmogorov-Smirnov goodness-of-fit test with null hypothesis that data was drawn from a population with distribution dist and alternative hypothesis that it was not Section 13 Kolmogorov-Smirnov test. Suppose that we have an i.i.d. sample X1, . . . , Xn with some unknown distribution P and we would like to test the hypothesis that P is equal to a particular.. If you assume that the data in each interval is concentrated at the midpoint then the calculation is correct. I have typically assumed this for the calculation of the mean, but have used the right end-point of the intervals for the KS calculation. I can see advantages with both approaches.x freq Cum Snx Z F(x) D 15 24 24 0,270 -1,379 0,084 0,186 25 32 56 0,629 -0,127 0,450 0,180 35 33 89 1 1,126 0,870 0,130Hi Jessica, Use the formula =KSDIST(0.08772444,42). This returns the value .888959. The KSDIST formula uses the Kolmogorov distribution, while KSPROB uses the table of critical values and so any value above .20 is returned as 1. See the following webpage for more information about KSDIST Kolmogorov Distribution Charles

ML Kolmogorov-Smirnov Test - GeeksforGeek

Le test de Kolmogorov est un test qui compare la distribution observée d'un échantillon statistique On lit la valeur critique Dn dans la table de la loi du de Kolmogorov-Smirnov. Si K<Dn, on accepte.. The Kolmogorov-Smirnov Statistic. We have calculated the maximum absolute distance between Kolmogorow Smirnov for Two Samples. Given two samples, test if their distributions are the same

Критерий Колмогорова-Смирнова (Kolmogorov-Smirnov test

Need your advice in finding p-value using KS test. If my test statistic D is 0.08772444 and n=42, I got p-value=1 by using =KSPROB( ) function. But if I want to get the exact value of p-value instead of 0 or 1, how can I do it? Kolmogorov-Smirnov test. From Wikipedia, the free encyclopedia. The Kolmogorov-Smirnov test can be modified to serve as a goodness of fit test The distribution of Dn can be calculated (see Kolmogorov Distribution), but for our purposes now the important aspect of this distribution are the critical values. These can be found in the Kolmogorov-Smirnov Table. Loading… Log in Sign up current community Stack Overflow help chat Meta Stack Overflow your communities Sign up or log in to customize your list. more stack exchange communities company blog By using our site, you acknowledge that you have read and understand our Cookie Policy, Privacy Policy, and our Terms of Service.

Tests for Rust's std::rand. Contribute to huonw/random-tests development by creating an account on GitHub. random-tests/kolmogorov_smirnov.rs One-sample Kolmogorov-Smirnov test data: x D = 0.3427, p-value < 2.2e-16 alternative hypothesis: two-sided The p-value is very low whereas the test should accept the null-hypothesis.Sally, I am revising the KS part of the website/software and will add the p-value. Stay tuned. Charles

Cathy, Yes, you can use the KS test for this purpose. In addition to the referenced webpage, which shows how to use the KS test to determine whether data fits with the normal distribution, I give an example of how to do this for the exponential distribution on the webpage http://www.real-statistics.com/non-parametric-tests/one-sample-kolmogorov-smirnov-test/. The approach for the binomial distribution is similar. Also note that if the sample size is sufficiently large the binomial distribution can be approximated by a normal distribution, as described on the webpage http://www.real-statistics.com/binomial-and-related-distributions/relationship-binomial-and-normal-distributions/. Charlesthank you very much sir for your reply. sir i have one more doubt, should we use “mean and standard deviation” or “Median and σlnz in lognormal distribution?

Edgar, Changing the value of alpha from .05 to .01, changes the value for Dcrit, but doesn’t change the value of Dn. I don’t see where the Dn = 0.35 comes from? The null hypothesis that the data comes from a normal population cannot be rejected if Dn < Dcrit. Charles Perform the Kolmogorov-Smirnov test for goodness of fit. This performs a test of the distribution G(x) of an observed random variable against a given distribution F(x). Under the null hypothesis the two..

Kolmogorov-Smirnov test(K-S检验). Kolmogorov-Smirnov statistic: 对于一个样本集的累计分布函数Fn(x) Daniel, I suggest that you use the Shapiro-Wilk test for normality. Regarding the hypothesis test, first you need to determine what hypothesis/hypotheses you want to test. CharlesIf a single-sample test is used, the parameters specified in ... must be pre-specified and not estimated from the data. There is some more refined distribution theory for the KS test with estimated parameters (see Durbin, 1973), but that is not implemented in ks.test.

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