Question

In: Statistics and Probability

ANOVA Part 1—A study compared five groups with six observations per group. An F statistic of...

ANOVA

Part 1—A study compared five groups with six observations per group. An F statistic of 5.13 was reported.

A.) Give the degrees of freedom for this statistic and be specific about which part you are referencing, numerator or denominator.

B.) Find the P-value associated with this F-statistic. Show your calculator command in the space provided.

Part 2—A study to compare four groups took random samples from each population of interest of sizes 38, 42, 21, and 45. The corresponding sample standard deviations are 2.5, 1.4, 2.7, and 3.1 respectively.

A.) Is it reasonable to use the assumption of equal standard deviations when we analyze these data? Explain your answer.

B.) Is it reasonable to believe that we have met the Normal condition when we analyze these data? Explain your answer.

Solutions

Expert Solution

TThe command for finding p-value r software.

> pf(5.13,4,25,lower.tail=F)
[1] 0.003703014

orchestra answered 2 years ago
Next > < Previous

Related Solutions

We have five groups and three observations per group. The group means are 6.5, 4.5, 5.7,...
We have five groups and three observations per group. The group means are 6.5, 4.5, 5.7, 5.7, and 5.1, and the mean square for error is .75. Compute an ANOVA table for these data.
The birth weights for two groups of babies were compared in a study. In one group...
The birth weights for two groups of babies were compared in a study. In one group the mothers took a zinc supplement during pregnancy. In another group, the mothers took a placebo. A sample of 135 babies in the zinc group had a mean birth weight of 3075 grams. A sample of 141 babies in the placebo group had a mean birth weight of 3002 grams. Assume that the population standard deviation for the zinc group is 803 grams, while...
The birth weights for two groups of babies were compared in a study. In one group...
The birth weights for two groups of babies were compared in a study. In one group the mothers took a zinc supplement during pregnancy. In another group, the mothers took a placebo. A sample of 138 babies in the zinc group had a mean birth weight of 3016 grams. A sample of 111 babies in the placebo group had a mean birth weight of 3343 grams. Assume that the population standard deviation for the zinc group is 790 grams, while...
The birth weights for two groups of babies were compared in a study. In one group...
The birth weights for two groups of babies were compared in a study. In one group the mothers took a zinc supplement during pregnancy. In another group, the mothers took a placebo. A sample of 33 babies in the zinc group had a mean birth weight of 3249 grams. A sample of 31 babies in the placebo group had a mean birth weight of 3143 grams. Assume that the population standard deviation for the zinc group is 870 grams, while...
The birth weights for two groups of babies were compared in a study. In one group...
The birth weights for two groups of babies were compared in a study. In one group the mothers took a zinc supplement during pregnancy. In another group, the mothers took a placebo. A sample of 129 babies in the zinc group had a mean birth weight of 3469 grams. A sample of 142 babies in the placebo group had a mean birth weight of 3318 grams. Assume that the population standard deviation for the zinc group is 843 grams, while...
The birth weights for two groups of babies were compared in a study. In one group...
The birth weights for two groups of babies were compared in a study. In one group the mothers took a zinc supplement during pregnancy. In another group, the mothers took a placebo. A sample of 227 babies in the zinc group had a mean birth weight of 3255 grams. A sample of 276 babies in the placebo group had a mean birth weight of 30023002 grams. Assume that the population standard deviation for the zinc group is 708 grams, while...
The birth weights for two groups of babies were compared in a study. In one group...
The birth weights for two groups of babies were compared in a study. In one group the mothers took a zinc supplement during pregnancy. In another group, the mothers took a placebo. A sample of 98 babies in the zinc group had a mean birth weight of 3423 grams. A sample of 80 babies in the placebo group had a mean birth weight of 3004 grams. Assume that the population standard deviation for the zinc group is 686 grams, while...
The degrees of freedom for the F test in a one-way ANOVA, with n observations and...
The degrees of freedom for the F test in a one-way ANOVA, with n observations and k independent samples, are: Select one: a. (n - 1) and (n - k) b. (k - n) and (k - 1) c. (k - n) and (n - 1) d. (k - 1) and (n - k)
A control group is ____________. A standard against which experimental groups are compared Identical to experimental...
A control group is ____________. A standard against which experimental groups are compared Identical to experimental groups except for one variable A standard with several variables against which an experimental group is compared Both a and b A specific aspect of an object or event that may change over time or change among individuals is a ___________. Control group Experimental group Variable Sampling error The fewer the number of individuals from a population that are chosen at random for an...
4) An ANOVA model with 4 groups and 10 subjects in each group has a total...
4) An ANOVA model with 4 groups and 10 subjects in each group has a total SS equal to 400, and within SS equal to 300, The MS between and the F value are equal to? A.  8.57, 11.66 B. 11/66, 30.00 5) For an ANOVA model with 3 groups and total of 27 subjects, the critical value for rejecting the null hypothesis at the 0.05 level of significance is. A. 99.50 B.  3.40
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT