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Hypothesis Testing II: The Two-sample Case

This article delves into hypothesis testing with sample means, proportions, and limitations. Understand one-sample vs. two-sample cases, null hypothesis disparities, and factors influencing null hypothesis rejection. Dive into statistical significance, sample distribution, and more.

charlesphillips
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Hypothesis Testing II: The Two-sample Case

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  1. Hypothesis Testing II: The Two-sample Case • Hypothesis Testing With Sample Means (Large Samples) • Hypothesis Testing With Sample Means (Small Samples) • Hypothesis Testing With Sample Proportions (Large Samples)

  2. Hypothesis Testing II: The Two-sample Case • The Limitations of Hypotheses Testing: Significance Versus Importance • Interesting Statistics: Are There Significant Differences in Income Between Men and Women?  

  3. One- and Two- Sample Cases Differences in sampling: • One-sample case assumes the sample was selected following EPSEM model. • Two-sample case samples must be selected independently, as well as randomly.

  4. One- and Two- Sample Cases Differences in null hypothesis: • One-sample case - the population from which the sample is drawn has a certain characteristic. • Two-sample case - the two populations are no different.

  5. One- and Two- Sample Cases Differences in sampling distribution: • One-sample case - outcome was either a mean or a proportion. • Two-sample case - sample outcome is the difference between the sample statistics.

  6. Factors in the Probability of Rejecting the Null Hypothesis • The size of the observed difference(s). • The alpha level. • The use of one or two-tailed tests. • The size of the sample.

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