From 53703fe14635845eaec7f5a0cbca05dcf53d4b99 Mon Sep 17 00:00:00 2001 From: phidias Date: Wed, 11 Feb 2026 14:28:11 +0000 Subject: [PATCH] docs: create education/statistics/3 --- education/statistics/3.html | 157 ++++++++++++++++++++++++++++++++++++ 1 file changed, 157 insertions(+) create mode 100644 education/statistics/3.html diff --git a/education/statistics/3.html b/education/statistics/3.html new file mode 100644 index 0000000..840a8a6 --- /dev/null +++ b/education/statistics/3.html @@ -0,0 +1,157 @@ + + +

General

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Two Samples Hypothesis Testing

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Testing the difference between two means, independent samples.

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Setting H0 and H1:

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Z-test

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Test statistics:

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Confidence Interval, for (μ1 - μ2):

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t-test

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Population variances equal
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Test statistics:

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Where

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Confidence Interval, for (μ1 - μ2):

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Population variances unequal
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Test statistics:

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Confidence Interval, for (μ1 - μ2):

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F test for equality of variances

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For checking the validity of the equal variance assumption

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for a two-sample t-test.

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Setting H0 and H1:

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Test statistics:

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 assuming 

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Critical value in the rejection region is based on 2 degrees of freedom, each n - 1

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So, 

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t test for comparing two means for dependent samples or paired samples.

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Setting H0 and H1:

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Test statistics:

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Where

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 and

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Confidence Interval, for μd:

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ANOVA Test

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ANalysis-Of-VAriance table could test the Difference among three or more means.

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Setting H0 and H1:

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H0: all populations means are equal.

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H1: at least one μ differs.

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Variation

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DF

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Sum of Squares

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Mean Square

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F

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Treatment

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Error

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Total

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N is overall sample size.

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k is the number of groups.

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