The point generating algorithm uses 9 probabilistic factors that mirror the odds of getting each type of hand(straight, 3 of kind, etc.) Mode = 30 points assigned to the completed hand Sum(f) = 6994, 7 card poker hands – Texas Hold-em (2010) Statistical methods for psychology (7 th ed.). (2013) Categorical data analysis, 3rd Ed. Examples WorkbookĬlick here to download the Excel workbook with the examples described on this webpage. See Goodness-of-Fit to a Distribution for details. If one or more of the distribution’s parameters is not known and so must be estimated from the data, then a modified version of the goodness-of-fit test is required. If all the parameters of the distribution are known, then the approach is exactly as described above. The chi-square goodness of fit test can be applied to determine whether observed data fit a certain distribution (or curve). 05 = α, we don’t reject the null hypothesis and conclude there is no significant difference between the distribution of elephants in the sample among the zones compared with the known population. 5 = 5 ≥ 5, we can apply the chi-square distribution as described above. Let x be the random variable that counts the number of heads in n trials and define the null hypothesis as follows: This time we will use the chi-square distribution. We can even use the normal approximation of the binomial distribution to solve such problems. We have already studied problems like this in Binomial Distribution and Hypothesis Testing using the Binomial Distribution. Thus by Corollary 1 of Chi-square Distribution, z 2 ~ χ 2(1), where Introductory exampleĮxample 1: Suppose we flip a coin 10 times and obtain 9 heads and 1 tail. Suppose the random variable x has binomial distribution B( n, p), and define z asīy Corollary 1 of Relationship between Binomial and Normal Distributions, provided n is large enough, generally, when np ≥ 5 and n(1– p) ≥ 5, then z is approximately normally distributed with mean 0 and standard deviation 1. On this webpage, we show how to test whether specific data fits a particular pattern or distribution using a chi-square goodness-of-fit test.
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