Assertion (A) : The one-way ANOVA allows researchers to compare two or more groups on an interval using one test.
Reason (R) : In a t- test one variable has to be nominal with no more than two independent groups and their scores on one dependent interval/ ratio variable.
In the light of the above statements, choose the most appropriate answer from the options given below:
Assertion (A) Analysis
The Assertion states that one-way ANOVA allows researchers to compare two or more groups on an interval variable using one test. This is correct. While typically used for three or more groups, ANOVA can technically be applied to compare two groups as well. It's designed for comparing means across multiple groups simultaneously.
Reason (R) Analysis
The Reason describes a t-test, stating that one variable must be nominal with no more than two independent groups, and their scores are measured on a dependent interval/ratio variable. This is an accurate description of the conditions for an independent samples t-test, which is used to compare the means of exactly two groups.
Relationship Between Assertion and Reason
Both Assertion (A) and Reason (R) are factually correct statements about statistical tests. However, Reason (R) describes the conditions and purpose of a t-test, not the conditions or purpose of an ANOVA. Therefore, the description of a t-test does not serve as an explanation for why ANOVA is used for comparing two or more groups.
Conclusion: Both statements are correct, but (R) is not the correct explanation of (A).
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
