Which of the following statements about the one-way ANOVA are correct? (Select all that apply)
The larger the variability within groups relative to the variability between groups, the larger the F test statistic tends to be.
The results of the ANOVA F test does not tel us which groups are different or how different they are.
An F-distribution is symmetrical about 0 and extends indefinitely in both directions
In a one-way ANOVA, if the null hypothesis is rejected, we conclude that the population means are all different (i.e. no two of the population means are equal)
A random variable with an F-distribution can take non-negative values only?
In one-way ANOVA, the mean square for error (MSE) gives a measure of the vanity on within the samples, while the mean square for greps MS gives a measure of variation among the sample means.
The given statement is FALSE. The F-statistic is,
\(F=\frac{M S B}{M S E}\)
So, larger variability within group relative to between groups makes F-statistic smaller.
The given statement is TRUE. The ANOVA \(-F\) test tells us that whether all the groups are from same population or not. They do NOT tell us how different they are.
The given statement is FALSE.
The F-distribution only takes non-negative values.
The given statement is FALSE.
We conclude that all means are not same. We do not conclude anything more than that. we have to do other tests to get any more conclusion
The given statement is TRUE.
As support of \(\mathrm{F}\) distributionis non-negative reals. So, random variable following \(\mathrm{F}\) distr. can only take non negative values.
The given statement is TRUE.
In one-way ANOVA, the mean square for error (MSE) gives a measure of the variation on within the samples, while the mean square for groups MS gives a measure of variation among the sample means.
Which of the following statements about the one-way ANOVA are correct?
Select the false statement about ANOVA. A one-way ANOVA hypothesis test considers comparisons between populations based on one characteristic, while a two-way ANOVA hypothesis test considers comparisons between populations based on multiple characteristics. If a researcher wants to study the effectiveness of three brands of nicotine patches, the researcher should use a One-Way ANOVA test. If a researcher wants to compare the mean wages of females in different age groups at a particular company, he or she should not use...
Which of the statements about one-way ANOVA is FALSE?The purpose of one way ANOVA is to verify whether the data collected from different sources converge on a common mean.ANOVA deals only with one factor, such as treatment or group.It is used when there are two independent variables in the experiment.There can be any number of levels in one-way ANOVA.
Please help with the following multiple choice 1. In the one-way ANOVA where there are k treatments and n observations, the degrees of freedom for the F-statistic are equal to, respectively: a. n and k. b. k and n. c. n − k and k − 1. d. k − 1 and n − k. 2. In ANOVA, the F-test is the ratio of two sample variances. In the one-way ANOVA (completely randomized design), the variance used as a numerator...
The null hypothesis for a one-way ANOVA states that ______. a. all of the population means are different from each other b. at least one of the population means is different from the others c. there are no differences between any of the population means d. either b or c Before running a one-way ANOVA, researchers should consider a set of assumptions. Which of the below statements is NOT one of the assumptions of the ANOVA?...
Find the critical F-value for a one-way ANOVA given: α = 0.01 dfb = 30 dfw = 14 a. 2.72 b. 3.34 c. 4.21 d. 1.98 e. 3.00 In which direction is the F distribution skewed? a. Positively skewed b. Negatively skewed c. No skew If our calculated F is LARGER than our identified critical value from the F-table, what decision would we make about the null hypothesis? a. Reject the null hypothesis b. Fail to reject (i.e., retain) the...
Which one of the following statements is INCORRECT about ANOVA test? An ANOVA test is an appropriate test for comparing three or more groups in a continuous variable. In an ANOVA test, the outcome variable is on a ratio or interval level of measurement The null hypothesis of an ANOVA test is that all means in comparison are equal. The range of the F value is (-oo, +oo)
The following represents partial results for a one-way ANOVA: Source d.f. Sums of Squares Mean Squares F-test Between 2 300 Within Total 23 800 Given the above partially completed ANOVA table, what is the value of the F-test to determine if there is a significant difference in population means? A. 15.67 B. 6.3 C. .375 D. 2.67
ANOVA A study is designed to examine whether there is a difference in mean daily calcium intake among three groups of adults with normal bone density (Norm), adults with osteopenia (OstPNia) (a low bone density which may lead to osteoporosis) and adults with osteoporosis (OstPSis). A total of twenty-one adults at age 60 was recruited in the study (7 adults in each group). Each participant's daily calcium intake was measured based on reported food intake and supplements in milligrams. We...
1. In a one-way ANOVA, what is always true about the null hypothesis? A. Some of the population means are different. B. There is no difference in the population means. C. All the population means are different. D. There is some treatment effect.
Question: List the conditions, under which the following statement is true: “In one-way ANOVA, MSGroups/MSE has a F distribution with parameters K-1 and n-K” Here, we have K groups and n observations.