The Analysis of Variance (ANOVA) technique is used to test the equality of the m

Question

The Analysis of Variance (ANOVA) technique is used to test the equality of the means of three more populations (or groups). (a) True (b) False The null hypothesis in the ANOVA study is that all the means are equal to one another. (a) True (b) False In the ANOVA study, you need the following information to do the F-test. (a) Degrees of freedom of the numerator (b) Degrees of freedom of the denominator (c) Value of F-sample Calculated from the sample data (d) Level of significance (e) All of the above In the (ANOVA) study, the lowest possible value for the sample test statistic. F-sample. calculated from the data samples, is zero. (a) True (b) False In an Analysis of Variance (ANOVA) study, five samples are selected at random from a population and each was subjected to a different treatment The critical value of the test statistic, F-critical. obtained from the Tables is 6.59 and the sample test statistic. F-sample. calculated from the data samples is 3.27. Based on these values, you can accept the null hypothesis and conclude that the means of the five populations (or groups) are equal. a)True b) False In hypothesis testing, the statistic x^2 is used for testing the independence of two attributes in cross-classification tables, the goodness-of-fit of a given dataset, and in many other cases. In such studies, the value of the test statistic. x^2-sample. calculated from the data samples, can sometimes be negative. (a) True (b) False When the values of (X, Y) are given, before estimating the values of the parameters of the linear equation Y = a + bX, as a first step, you must do the following: (a) Plot the values of X and Y to see if they fall around a straight line and exhibit a linear relationship. b) Calculate the difference (X-Y) for all pairs of (X, Y) (c) Calculate the sum of logarithms (log(X) + log(Y)) for all pairs of (X, Y). (d) Calculate the difference of logarithms (log(X) -log(Y) for all pairs of (X, Y). all of the above

Explanation / Answer

1. ANOVA is used for testing equality of 3 or more population means. So the abive statement is TRUE.

2. The null hypothesis in ANOVA is that all the means are equal to one another. So the above statement is TRUE.

3. In ANOVA, in order to go for F-test, we need all the information mentioned in options (a) - (d). So option (e) is the correct choice.

4. Since F if ratio of two independent chi-square random variables, and chi-square being non-negative, the lowest possible of F-sample. So the statement is TRUE.

5. Since F-sample < F-critical, we fail to reject the null hypothesis. So the statement is true.

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