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
- 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 - Match the LIST-I with LIST-II
LIST-I LIST-II A. One-Tailed Test I. Null hypothesis is rejected if the sample value is significantly higher or lower than the hypothesized value of the population parameter B. Paired difference Test II. A hypothesis test of the difference between the sample means of two independent samples C. Two-Tailed Test III. A sample value significantly above the hypothesized population value will lead to rejection of the null hypothesis D. Upper-Tailed Test IV. Concerned only with whether the observed value deviates from the hypothesized value in one direction
Choose the correct answer from the options given below: - Arrange in correct sequence the steps for testing Statistical Hypothesis :
I. A random sample is drawn from population.
II. Specify the level of significance.
III. Value of the sample statistic is obtained.
IV. Obtained sample statistic is examined with the random sampling distribution of the statistic under consideration.
V. Formulate Null Hypothesis about a parameter of the population, along with an alternate hypothesis.
VI. Retain Null Hypothesis if particular sample outcome is in line with the expected outcomes, otherwise reject it and retain alternate hypothesis.
Codes : - Which set of stoichiometric coefficient correctly balance the equation ?
$$a. H_2O_2 + b. KMnO_4 + c. H_2SO_4 \to d. K_2SO_4 + e. MnSO_4 + f. H_2O + g. O_2$$
Select the correct answer from the codes given below :
