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
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code : Given below are two statements:
Statement I: Like correlation, statistical regression examines the association or relationship between variables.
Statement II: The primary purpose of regression is prediction.
In the light of the above statements, choose the most appropriate answer from the options given below:
Given below are two statements :
Statement I : t-tests are appropriate only when the dependent variables being measured are continuous.
Statement II : Chi-square statistic allows us to test hypotheses using both continuous and ordinal data.
In the light of the above statements, choose the most appropriate answer from the options given below :
