HomeworkLib
Question

The null hypothesis in ANOVA is that all means of all groups are the same. The...

The null hypothesis in ANOVA is that all means of all groups are the same. The alternative is that at least one pair of means is different. We compute an F-statistic to explore sources of variability in our data to conduct the omnibus ANOVA. Question: what do you expect to happen when the null hypothesis is true?

  • A. More between group variability
  • B. Less between group variability
math   Statistics-And-Probability   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

In anova Ho : All means of groups are same .

H1: atleast one pairs of mean is different .

Now if null hypothesis is true it means all means of group are same .

The test statistics is SSbetween / SS within .

So as as variance of SS between is smaller than the ss within we fail to reject Ho .That is null hypothesis is true .

And this happens only if Less between group variability.

0 0
Add a comment
Know the answer?
Add Answer to:
The null hypothesis in ANOVA is that all means of all groups are the same. The...
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. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • The null hypothesis for a one-way ANOVA states that ______.           a. all of the population...

    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?...

  • In ANOVA, variability between groups reflects _________, whereas variability within groups reflects __________ . total variance;...

    In ANOVA, variability between groups reflects _________, whereas variability within groups reflects __________ . total variance; error variance error variance ; total variance random error; a true effect (if one exists) both a true effect (if one exists) and random error; only random error just a true effect (if one exists); random error Rejecting the null hypothesis with the overall or omnibus One-way Analysis of Variance indicates that the: mean of one sample differs significantly from the mean of at...

  • 1. When running an ANOVA test, you observe large differences in means between groups. Within the...

    1. When running an ANOVA test, you observe large differences in means between groups. Within the ANOVA framework, this would most likely be interpreted as: A. Evidence strongly favoring the alternative hypothesis. B. Evidence strongly favoring the null hypothesis. C. Evidence revealing which group mean is different from the others. D. None of the above.

  • Which of the following statements about the one-way ANOVA are correct?

    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...

  • Consider the following scenario. You conduct a RCBD ANOVA test and calculate a test statistic of...

    Consider the following scenario. You conduct a RCBD ANOVA test and calculate a test statistic of 3.48 for your primary research question. You had 6 different treatment groups, and 5 levels of your blocking variable. What would be the most correct conclusion to come to using a significance level of 5%? O A. Reject the null hypothesis since the p value is greater than 0.05 and conclude that at least one of the treatment group means are different to the...

  • In a​ one-way ANOVA, what does it mean to reject the statement in the null hypothesis...

    In a​ one-way ANOVA, what does it mean to reject the statement in the null hypothesis if three treatment groups are being​ compared? Choose the correct answer below. A. Rejecting the statement in the null hypothesis means that there is insufficient evidence to conclude that the mean of one of the populations is different than the other two or that all three populations are different. B. Rejecting the statement in the null hypothesis means that there is sufficient evidence to...

  • Method Null hypothesis H₀: All means are equal Alternative hypothesis H₁: At least one mean...

    Method Null hypothesis H₀: All means are equal Alternative hypothesis H₁: At least one mean is different Equal variances were assumed for the analysis. Factor Information Factor Levels Values StressLevel 3 High, Low, Medium Analysis of Variance Source DF Adj SS Adj MS F-Value P-Value StressLevel 2 261.361 130.681 18.76 <0.0001 Error 69 480.583 6.965 Total 71 741.944 Model Summary S R-sq R-sq(adj) R-sq(pred) 2.63912 35.23% 33.35% 29.47% Means StressLevel N Mean StDev 95% CI High 24 5.2083 2.6536 (4.1336,...

  • Question 1 For ANOVA: the null hypothesis is: Mu1 = Mu2 = Mu3......etc True False Question...

    Question 1 For ANOVA: the null hypothesis is: Mu1 = Mu2 = Mu3......etc True False Question 2 For ANOVA: the alternative hypothesis is: Mu1 ≠Mu2 ≠Mu3......etc. True False Question 3 Both ANOVA and Chi square tests are always right tail tests True False Question 4 For ANOVA, you only complete a Tukey's means comparisons test if the overall F* value was significant (i.e., p<0.05) True False Question 5 Both F and Chi Square distributions vary with df True False Question...

  • 11. What is the null hypothesis for a t-test for two independent groups? a. If mul...

    11. What is the null hypothesis for a t-test for two independent groups? a. If mul and mu2 are the population means of the two groups, then the null hypothesis is Ho: mul-mu2=0. b. If sl and s2 are the population standard deviations of the two groups, then the null hypothesis is Ho: sl-s2=0. 12. Differentiate between a data set that should be analyzed using a paired t-test from a data set that should be analyzed using a t-test for...

  • Your ANOVA was statistically significant (Reject the H0). The groups had a means of: Group A:...

    Your ANOVA was statistically significant (Reject the H0). The groups had a means of: Group A: 25 Group B: 10 Group C: 15 Given this information, what would be the most appropriate summary statement for ANOVA hypothesis test? a. Group A is different from both Groups B and C b. Group A is different from Group B only c. There is at least one significant group difference d. There isn't enough information provided to make a summary statement *please explain...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT