List-I Statistical tests List-II Purpose A. Chi-Square Test I. Comparing two groups mean scores to investigate the effects of one independent variable on two samples. B. t-test II. Relationship between expected frequencies and observed frequencies C. Two-way ANOVA III. Investigate the effect of two independent variables on two samples D. Multiple Regression IV. Analyze the relationship between two or more independent variables and a single dependent variable.
Choose the correct answer from the options given below:
Statistical Tests Matching
This solution involves matching statistical tests from List-I with their corresponding purposes described in List-II.
Matching Statistical Tests to Purposes
We will analyze each test in List-I and identify its primary function from List-II:
- A. Chi-Square Test: This test is fundamentally used to analyze categorical data. Its main purpose is to compare observed frequencies with expected frequencies to determine if there is a significant difference between them. This aligns with Purpose II. Relationship between expected frequencies and observed frequencies.
- B. t-test: A t-test is employed to compare the means of two groups. It is used to determine if there is a statistically significant difference between these means, often used when investigating the effect of a single independent variable on a dependent variable measured on two different samples. This matches Purpose I. Comparing two groups mean scores to investigate the effects of one independent variable on two samples.
- C. Two-way ANOVA: Analysis of Variance (ANOVA) with two factors (independent variables) is used to understand how two independent variables influence a dependent variable. It examines the main effects of each variable and their interaction effect. Purpose III. Investigate the effect of two independent variables on two samples is the closest description among the given options, focusing on the role of two independent variables.
- D. Multiple Regression: This technique is used to predict the value of a dependent variable based on the values of two or more independent variables. It helps analyze the linear relationship between these variables. This directly corresponds to Purpose IV. Analyze the relationship between two or more independent variables and a single dependent variable.
Correct Matching Summary
Based on the analysis:
- A matches with II
- B matches with I
- C matches with III
- D matches with IV
Therefore, the correct combination is A-II, B-I, C-III, D-IV.
Important Questions from Hypothesis testing - Teaching
- Which of the following is the condition where χ2\chi^2χ2 (chi-square) should not be applied ?
- Type II error occurs when :
- The null hypothesis that all slope coefficients are simultaneously equal to zero is tested in logit model by:
- The null hypothesis in nonparametric test often _______.
1. Includes specification of a population's parameters
2. Is used to evaluate some general population aspect
3. Is very similar to that used in regression analysis
4. Simultaneously tests more than two population parameters - The _______ test determines whether there is a significant difference between the observed and hypothesized distribution for a sample.
1. Independence
2. Coefficient of determination
3. Correlation analysis
4. Goodness-of-fit
