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Two Sample Proportion with SigmaXL
What is the Two Sample Proportion Test? The two sample proportion test is a hypothesis test to compare the proportions of one certain event occurring in two populations following the binomial distribution. [unordered_list style=”star”] Null Hypothesis(H0): p1 = p2 Alternative Hypothesis(Ha): p1 ≠ p2 [/unordered_list] Two Sample Proportion Test Assumptions [unordered_list style=”star”] The sample data…
Read MoreOne Sample Proportion with SigmaXL
What is the One Sample Proportion Test? One sample proportion test is a hypothesis test to compare the proportion of one certain outcome (e.g. the number of successes per the number of trials, or the number of defects per the total number of opportunities) occurring in a population following the binomial distribution with a specified…
Read MoreOne Sample Wilcoxon with SigmaXL
What is the One Sample Wilcoxon Test? The one sample Wilcoxon test is a hypothesis test to compare the median of one population with a specified value. [unordered_list style=”star”] Null Hypothesis (H0): η = η0 Alternative Hypothesis (Ha): η ≠ η0 [/unordered_list] It is an alternative test of one sample t-test when the distribution of the data is…
Read MoreChi Square Tests with SigmaXL
Chi Square (Contingency Tables) We have looked at hypothesis tests to analyze the proportion of one population vs. a specified value, and the proportions of two populations, but what do we do if we want to analyze more than two populations? A chi-square test is a hypothesis test in which the sampling distribution of the…
Read MoreMedian Test with SigmaXL
What is Mood’s Median Test? Mood’s median test is a statistical test to compare the medians of two or more populations. [unordered_list style=”star”] Null Hypothesis (H0): η1 = … = ηk Alternative Hypothesis (Ha): At least one of the medians is different from the others [/unordered_list] The symbol k is the number of groups of…
Read MoreKruskal Wallis with SigmaXL
Kruskal–Wallis One-Way Analysis of Variance The Kruskal Wallis one-way analysis of variance is a statistical hypothesis test to compare the medians among more than two groups. [unordered_list style=”star”] Null Hypothesis (H0): η1 = η2 = … = ηk Alternative Hypothesis (Ha): at least one of the medians is different from others. Where: ηi is the…
Read MoreMann Whitney Testing with SigmaXL
What is the Mann Whitney Test? The Mann Whitney test (also called Mann–Whitney U test or Wilcoxon rank-sum test) is a statistical hypothesis test to compare the medians of two populations that are not normally distributed. In a non-normal distribution, the median is the better representation of the center of the distribution. [unordered_list style=”star”] Null…
Read MoreOne Way ANOVA with SigmaXL
What is One Way ANOVA? One way Analysis of Variance is a statistical method to compare means of two or more populations. It is a generalized form of the two sample t-test since a two sample t-test compares two population means and one way ANOVA compares k population means where k ≥ 2. [unordered_list style=”star”] Null Hypothesis…
Read MorePaired t Test with SigmaXL
Paired t Test The third type of a Two Sample t-Test is the Paired t Test. This test is used when the two populations are dependent of each other, so each data point from one distribution corresponds to a data point in the other distribution. When using a paired t test, the test statistic is calculated…
Read MoreTwo Sample t Test with SigmaXL
Two Sample t Test Two sample t test is a hypothesis test to study whether there is a statistically significant difference between the means of two populations. [unordered_list style=”star”] Null Hypothesis (H0): μ1 = μ2 Alternative Hypothesis (Ha): μ1 ≠ μ2 [/unordered_list] Where: μ1 is the mean of one population and μ2 is the mean…
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