Cell Counts Required for Chi-Square Tests

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StatTutor: Cell counts required for the chi-square test

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Question 1

Question 1.

Which of the following is NOT a proper method of data collection for a chi-square test?

Randomly assigning the order in which each subject receives multiple treatments and taking a categorical response measurement.

Taking a simple random sample and asking each respondent two questions with categorical answers.

Randomly allocating subjects to treatments and taking a categorical response measurement.

Taking a separate simple random sample from each population of interest and asking each respondent one question with categorical answers.

Correct. Categorical data from a matched pairs experiment are not analyzed with a chi-square test.

Incorrect. Categorical data from a matched pairs experiment are not analyzed with a chi-square test.

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Question 2

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Question 2.

In addition to proper data collection, what else needs to be checked when performing a chi-square test?

Size of expected counts

Size of sample(s)

Size of observed counts

Correct. We check to make sure expected counts are large enough for the chi-square test statistic to have a chi-square distribution.

Incorrect. We check to make sure expected counts are large enough for the chi-square test statistic to have a chi-square distribution.

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Question 3

153

Question 3.

True or false: If any expected count is less than 1.0 or if more than 20% of the expected counts are less than 5, then the P-value from a chi-square test cannot be trusted.

True

False

Correct. This is a correct statement.

Incorrect. This is a correct statement.

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Question 4

190

Question 4.

When can conclusions of cause and effect be made using the results of a chi-square test?

When the results of a chi-square test are significant.

When an experiment has been performed.

Both of the above are required for conclusions of cause and effect.

Correct. We need data to be collected from an experiment AND for the results of a chi-square test to be significant in order to draw conclusions of cause and effect.

Incorrect. We need data to be collected from an experiment AND for the results of a chi-square test to be significant in order to draw conclusions of cause and effect.

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StatTutor Lesson - Cell Counts Required for Chi-Square Tests

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