ONE-WAY ANALYSIS OF VARIANCEGeneral Direction:• Compute the following data using F-Test.• Solve using 5-step process.• Round-off the decimal to the nearest hundredths place.INTERPRET the result of the test. (reject/fail to reject the null hypothesis) y243541.

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Answered: ONE-WAY ANALYSIS OF VARIANCE General…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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One-way ANOVA Conditions Observations in each group is a random sample from a Normal population. • All populations have the same variance. Assumption considered reasonable if the largest sample SD is no larger than twice the smallest sample SD. • Samples are independent. • Normality assumption may be waived if each sample is greater than 20. Results are considered approximate question-Does it seem reasonable to make the assumptions needed to use the ANOVA procedure for these data? Justify your answer by referring to the above outputs. Produce the Density Trace and Normal Probability Plot of the Residuals.
One-way ANOVAPart 1. One-Way Analysis of Variance (ANOVA)1. Null Hypothesis (just in words): 2. Alternative Hypothesis (just in words). 3. Is the data violating one of the ANOVA assumptions? _______________
Prices and mileage of 44 Toyota Prius cars. Prices ranged from $17,043 to $48,935. Mileage ranged from 403 to 70,838. While I did not share the cars were 2017 to 2020 models. Please show all work. Does this model meet the Normality assumption? Provide evidence and a discussion of support for meeting the assumption. Does this model meet the Equal Variance (Homoscedasticity) assumption? Provide evidence and a discussion of support for meeting the assumption. Price Mileage 17167 67380 24500 8137 20700 14907 20700 13906 18995 39268 21985 3292 19995 32630 19983 36074 19477 35484 20980 23954 24940 7001 24940 7991 25480 3476 17960 41051 25980 403 24500 8137 18588 66109 18788 51022 19200 32753 21985 38838 24512 2307 22997 33671 18480 27233 18480 27758 17043 70838 17761 21967 18488 11686 17793 26080 17900 36655 18100 46264 20500 27112 22410 17384 22817 2860 21660 17060 17575 54848 20250 21084 20259 21183…
(a) Briefly describe one-way analysis of variance using at least the following questions:• In what situations is one-way analysis of variance used?• What kind of distribution is the material supposed to come from?• What is assumed about expected values and variances?• What kind of null hypothesis is being tested? Use the notations in the book and explain the zero-hypothesis also verbally.(b) What is the difference and what do two-way and one-way analysis of variance have in common? Answer with the help of the questions above.
Say we were testing the effects of taking calcium on bone density levels and obtained a positive and significant value for our independent t test result. What would you write (using APA format) when performing a percentage of variance explained test on the data and received a value of r2=.38.
(i) Determine if the hypothesis test is one tailed or two tailed. (ii) Find the critical value. Round the answer to at least two decimal places. (iii) Compute the test value. Round the standard deviations and F-score values to two decimal places as needed. (iv) Make the decision and summarize the results.
5
In a completely randomized design, 18 experimental units were used for the first treatment, 19 for the second treatment, and 20 for the third treatment. Complete the following analysis of variance. (Round your values for MSE and F to two decimal places, and your p-value to four decimal places.) Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value Treatments 1,500 Error Total 2,400 At a 0.05 level of significance, is there a significant difference between the treatments? State the null and alternative hypotheses: A) H0: At least two of the population means are equal. Ha: At least two of the population means are different. B) H0: ?1 ≠ ?2 ≠ ?3Ha: ?1 = ?2 = ?3 C) H0: ?1 = ?2 = ?3Ha: ?1 ≠ ?2 ≠ ?3 D) H0: ?1 = ?2 = ?3 Ha: Not all the population means are equal. E)H0: Not all the population means are equal.Ha: ?1 = ?2 = ?3 #2) Find the value of the test statistic (Round your answer to two decimal places) Find the…
estion 9 Which of the following statements are not true? O The analysis of variance, or more briefly ANOVA, refers broadly to a collection of experimental situations and statistical procedures for the analysis of qu experimental units. The simplest ANOVA problem is referred to as two-way ANOVA. Single-factor ANOVA focuses on a comparison of more than two population or treatment. All of the above statements are true. None of the above statements are true.
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ONE-WAY ANALYSIS OF VARIANCE General Direction: • Compute the following data using F-Test. • Solve using 5-step process. • Round-off the decimal to the nearest hundredths place. INTERPRET the result of the test. (reject/fail to reject the null hypothesis)