Which of the following statistical technique will be appropriate for data analysis when the observations are available in the form of frequencies?
Non-parametric 'chi-square' test
The choice of a statistical test depends on the type of data. When observations are recorded as frequencies or counts falling into categories (nominal, categorical data), a non-parametric test is required, because parametric tests assume interval or ratio data that are normally distributed.
The chi-square test is the standard non-parametric technique for analysing frequency data. It is used to test goodness of fit and independence or association between categorical variables by comparing observed frequencies with expected frequencies. Hence it is the appropriate technique here.
Why the other options are unsuitable:
The parametric t test requires continuous data measured on an interval or ratio scale and assumes a normal distribution; it compares means, not frequencies, so it cannot be applied to count data.
The non-parametric Mann-Whitney u test is used to compare two independent groups on ranked or ordinal data, not on data that appear as frequencies in categories.
The parametric correlated (paired) t test compares the means of two related sets of continuous scores, which again does not fit frequency data.
Only the chi-square test directly handles observations expressed as frequencies.
Correct answer: Non-parametric 'chi-square' test
Similar Questions
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A. SPSS
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Important Questions from Data Analysis
The quartile deviation of Normal Distribution is
A set of sample of 20 places of mean annual rainfall were randomly selected from a normally distributed universe that has mean annual rainfall of 320 cm. The sample mean was recorded 250 cm with standard deviation of 150 cm. Which one of the following significance tests is correct for the selected samples ?
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)
Inter-class correlation
(c)
A technique used for estimating reliability of multiple-trials tests
(iii)
Inter-tester reliability
(d)
A form of reliability that pertains to the testers
(iv)
Coefficient alpha
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
(iv)
Chi-square
(e)
Non-parametric statistics
(v)
Standard deviation
