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Which of the following is the pre-condition for applying Chi-square test?
Question



Which of the following is the pre-condition for applying Chi-square test?

A.

Data should not be presented in percentage or ratio form.

B.

The sample should consist of at least 100 observations.

C.

The sample should not be drawn randomly.

D.

All the individual observations in a sample should not be independent.

Correct option is A

The Chi-square test is a non-parametric statistical test used to evaluate the association between categorical variables. The pre-conditions for applying the test include:
1. Raw Frequency Data:
· The data should be in the form of absolute frequencies, not percentages or ratios.
2. Adequate Sample Size:
· Although not strictly requiring 100 observations, the sample should be large enough for expected frequencies in each cell to be 5 or more.
3. Random Sampling:
· The sample must be randomly drawn to ensure unbiased representation.
4. Independence of Observations:
· Each observation must belong to only one category to avoid dependency.
Information Booster: The Chi-square test is frequently used in market research to examine customer preferences, satisfaction levels, or brand choices.
Additional Knowledge: If the expected frequency is below 5 in any cell, the Yates correction for continuity or Fisher’s Exact Test may be used as alternatives.

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