STATISTICAL TECHNIQUES AND TOOLS
CHI SQUARE
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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A chi-squared distribution with k degrees of freedom is more right-skewed than a chi-square distribution with k+1 degrees of freedom.
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A chi-square distribution never takes negative values.
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The degrees of freedom for chi-square test is determined by sample size.
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The area under a chi-square density curve is always equal to 1.
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Detailed explanation-1: -Option c is wrong among the possibilities presented. The number of categories determines the degrees of freedom of a chi-square test. d f = c-1 is the formula. As a result, sample size has no bearing on degrees of freedom.
Detailed explanation-2: -The Chi-Square test is a statistical procedure for determining the difference between observed and expected data. This test can also be used to determine whether it correlates to the categorical variables in our data.
Detailed explanation-3: -A chi-squared distribution constructed by squaring a single standard normal distribution is said to have 1 degree of freedom. Thus, as the sample size for a hypothesis test increases, the distribution of the test statistic approaches a normal distribution.