In conducting One way analysis of Variance, which of the following test statistics would be used?
F
One-way Analysis of Variance (ANOVA) is used to test whether the means of three or more groups differ. The clue is right in its name — 'analysis of variance'.
ANOVA works by comparing two estimates of variance: the variance between the group means and the variance within the groups. When you form a ratio of two variances, the sampling distribution that results is the F-distribution, and the test statistic is therefore F (named after R. A. Fisher). A large F value means the differences between group means are large relative to the scatter inside the groups, signalling a genuine difference.
Why the others are wrong: the Z statistic is used for means or proportions of large samples when the population standard deviation is known; the t statistic compares means of one or two groups with small samples; chi-square is used for categorical/frequency data such as tests of independence and goodness-of-fit. None of these is the ratio-of-variances test that ANOVA requires.
Correct answer: F
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Important Questions from Data Analysis
The quartile deviation of Normal Distribution is
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Match List-I with List-II :
List-I
List-II
(a)
The most commonly used method of computing correlation between two variables
(i)
Intra-class correlation
(b)
An ANOVA technique used for estimating reliability of a measure
(ii)
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(c)
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(iii)
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(d)
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Select the correct option :
Given below are two statements
Statement I: Paired t-test is used to compare two related means (μ 1 and µ 2)
Statement II: The t-test is a method used for inferential statistics
In light of the above statements, choose the most appropriate answer from the options given below
Match the items of List I with the items of List II and choose the correct answer from the code given below.
List I
List II
(a)
Descriptive statistics
(i)
Regression equation
(b)
Relationship statistics
(ii)
t-test
(c)
Predictive statistics
(iii)
Karl Pearson’s correlation
(d)
Comparative statistics
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Chi-square
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Non-parametric statistics
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Standard deviation
