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MATLAB: An Introduction with Applications

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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**Title: Understanding Internal Validity in Statistical Analysis**

A statistical analysis is considered internally valid if:

- **A.** all *t*-statistics are greater than |1.96|.
- **B.** the population is small, say less than 2,000, and can be observed.
- **C.** the regression \( R^2 \) > 0.05.
- **D.** the statistical inferences about causal effects are valid for the population studied.

### Explanation:

This multiple choice question aims to evaluate the criteria for internal validity in statistical analyses. Here’s what each option implies:

- **Option A:** Suggests that for internal validity, all test statistics need to exceed a specific critical value, implying strong evidence against the null hypothesis.

- **Option B:** Assumes that a smaller, fully observable population may contribute to internal validity, focusing on the comprehensive analysis of the given group.

- **Option C:** Relates internal validity to the strength of the relationship in regression analysis, measured by \( R^2 \), though usually higher values are desired.

- **Option D:** Focuses on the accuracy of causal inferences made within the study’s context and applicability to the studied population.

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