Question

This week we add a new PDF to our tool box - the F-statistic. A major...

This week we add a new PDF to our tool box - the F-statistic. A major use of this PDF is the comparison of variances, but it is also the test statistic of Analysis of Variance (ANOVA). Even though ANOVA is comparing means of different groups, we use the F to test our hypotheses. So why do we do this?

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

In Analysis of Variance (ANOVA) the F value is a tool to assist you with addressing the inquiry about the variance between the methods for two populaces significantly different or not.

F-tests has been used by Analysis of variance (ANOVA) to statistically assess the equality of means when you have three or more groups.

The term F-test depends on the way that these tests utilize the F-measurement to test the hypotheses. The proportion of two variances is A F-statistics.

The proportion of the between group variability to the within group variability in one-way ANOVA follows a F-appropriation when null hypothesis is said to be true.

Since the F-distribution accept that the null hypothesis is true, you can put the value of F from your experiment in the F-distribution to decide how steady your outcomes are with the invalid speculation and to compute probabilities.

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Even though ANOVA is comparing means of different groups, we use the F to test our...
Even though ANOVA is comparing means of different groups, we use the F to test our hypotheses. So why do we do this?
If we are comparing two independent samples and are not convinced that our data is normally...
If we are comparing two independent samples and are not convinced that our data is normally distributed or that our variances are equal, what statistical test should we use to test our hypothesis of equivalent means across the two groups?
(1) A Chi-squared test is typically used to test for any of the following except which...
(1) A Chi-squared test is typically used to test for any of the following except which of the following? (A) If a mathematical model accurately predicts our observed frequencies of data values. (B) If a mathematical model accurately predicts the total number of observed data values. (C) If a mathematical model accurately predicts the pattern of our observed data values. (D) Whether two factors present in a population are independent of one another. (E) Whether a series of populations experience...
True or False: For all hypothesis tests, a small p-value means we will reject the null....
True or False: For all hypothesis tests, a small p-value means we will reject the null. True or False: If you are testing the means of two groups, then you would use ANOVA. True or False: A two-sample confidence interval must capture zero to show the groups are different. True or False: The test statistic for ANOVA is the f-statistic. True or False: For Chi-Square tests, if the observed counts and expected counts are extremely different, then we would have...
Suppose a team of doctors wants to study the effect of different types of exercise on...
Suppose a team of doctors wants to study the effect of different types of exercise on reducing body fat percentage in adult women. The 48 participants in the study consist of women between the ages of 40 and 49 with body fat percentages ranging from 36%–38%. The participants were each randomly assigned to one of four exercise regimens. Twelve were to complete 45 min of aerobic exercise four times a week. Twelve were to complete 45 min of anaerobic exercise...
The success of a major movie is often determined by the amount of money that a...
The success of a major movie is often determined by the amount of money that a movie makes (in millions of dollars). Suppose we want to test the claim that movies with three different ratings (PG, PG-13, and R ratings) bring in the same amount of money on average, using a 0.05 significance level. Below are the ANOVA results of this analysis. df SS MS F-value Pr(>F) Groups 2 44461.204 22230.602 2.781 .0774 Residuals 31 247806.1 7993.744 Total 33 292267.3...
An analysis of variance experiment produced a portion of the accompanying ANOVA table. (You may find...
An analysis of variance experiment produced a portion of the accompanying ANOVA table. (You may find it useful to reference the F table.) a. Specify the competing hypotheses in order to determine whether some differences exist between the population means. H0: μA = μB = μC = μD; HA: Not all population means are equal. H0: μA ≥ μB ≥ μC ≥ μD; HA: Not all population means are equal. H0: μA ≤ μB ≤ μC ≤ μD; HA: Not...
Here is a link to a data set concerning treatment groups A and B. Before performing...
Here is a link to a data set concerning treatment groups A and B. Before performing a t-test to determine if the two groups are different, researchers must first ascertain if the variance in the two groups is the same using an F test. Indicate whether the hypothesis below is the null or alternate hypothesis for the F test. null The variance in group A is equal to the variance in group B Calculate the F statistic for this data...
Here is a link to a data set concerning three treatment groups: A, B, & C....
Here is a link to a data set concerning three treatment groups: A, B, & C. A B C 0.0873 0.0974 0.0956 0.0571 0.0873 0.0974 0.0813 0.0662 0.1352 0.0831 0.0672 0.0817 0.0976 0.0819 0.1016 0.0817 0.0749 0.0968 0.0859 0.0649 0.1064 0.0735 0.0835 0.105 0.0659 0.0725 0.0973 0.0923 0.0703 0.1039 0.0836 0.1026 0.1045 0.0749 0.1064 0.0571 0.065 0.11 0.0814 0.1016 0.0976 0.0835 0.0968 0.0817 0.0725 0.1064 0.0859 0.0703 0.105 0.0735 0.1026 In order to perform an ANOVA on the data to...
1-Researchers are interested in a new drug intervention for those people with an abnormally high heart...
1-Researchers are interested in a new drug intervention for those people with an abnormally high heart rate. We accrue 90 people in our study and assign 30 patients to take the placebo (the subjects do not know that it is a placebo), another 30 are assigned the current drug regiment, and the remaining 30 are assigned the new drug. Determine if the three groups are equal and if all are not equal, which drugs are different? To answer this question,...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT