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Understanding T-Tests and F-Tests in Statistical Analysis

This section focuses on key statistical concepts, including critical values, t-tests (pooled, unpooled, and paired), the F-test, and p-values. It emphasizes the significance of the sample size, especially in relation to low p-values. Furthermore, it discusses the implications of using the Plus-Four method, two-way tables, and Chi-square tests. The content also touches on critical values for one-sided and two-sided tests, illustrating these concepts with examples and providing insights on data analysis through regression and ANOVA.

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Understanding T-Tests and F-Tests in Statistical Analysis

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  1. STAT 104. Section 8 Daniel Moon

  2. Contents • Feedback on HW #7 • Critical Value • Pooled, Unpooled, and Paired t-test • F-test • P-Value (Sample size is very large  Low P) • Plus Four • Two-way Tables • Chi-square

  3. How to take critical value • One-sided • (95%) Critical Value • Z: 1.65 • Two-sided • (95%) Critical Value • Z: 1.96 • F 0.025,33, 43 = ~1.90 • F > F 0.025,33, 43

  4. Feedback Paired Pooled Unpooled F test no significant difference in variance Follows Normal the most conservative Sample number should be same Weight Gain Q. Pooled vs. Paired ? Sensitivity to an unequal sample data point vs. ?

  5. F-test • Are extremely sensitive to nonnormal distributions • F-test can be used for comparing several means • Multiple Regression

  6. Plus Four

  7. Chi-square distribution

  8. Two-way ANOVA Standardized residual

  9. Two-way ANOVA

  10. Project • Review of a published paper • Analysis of data

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