One way analysis of variance is used to test for

Q: Explain how the F-test statistics is calculated and what it tells us about the variance between and…

A: In ANOVA, “SS” stands for “sum of squares”, “df” stands for degrees of freedom, F is for the test…

Q: Could you explain the difference of homogeneity of variance and heterogeneity of variance?

A: Given that  We have to explain  the difference of homogeneity of variance and heterogeneity of…

Q: Given this already solved problem, how could you determine whether homogeneity of variance is…

A: The hypothesis for the homogenity of variances is H0 : σ12=σ22       againstH1 : σ12≠σ22 Adding the…

Q: Explain the assumption of homogeneity of variance?

A: Independent Two Samples t-test: Suppose there are two populations independent of one another. A…

Q: What does sample variance measures in F test?

A: F-test is used to test whether the observations in two groups have same variability. Let X1, X2, …,…

Q: The analysis of variance methodology will show that there really is a difference between the means…

A: When the between-group variance is significantly larger than the within-group variance, then there…

Q: Explain what Analysis of variance (ANOVA) is and when we can use it.

A: Introduction :-  ANOVA :-  Analysis of variance is the " Separation of variance ascribable to one…

Q: What do the mean deviation, variance and standard deviation all have in common? How is this common…

A: Mean deviation, standard deviation and variance all measure the spread of the distribution.Mean…

Q: Explain what the purpose of an Analysis of Variance is.

A: A ANOVA is a statistical method for making simultaneous comparisons between two or more group means.…

Q: Distinguish Conditional Variance from Conditional Mean

A: Conditional Expectation: The conditional expectation or conditional mean of  random variable is the…

Q: What is the variance of number of Sundays on a nonleap year?

A:

Q: The variance caused by random, unsystematic differences is called _____.

A: This is the concept of ANOVA

Q: What is the expression for PROPORTION OF EXPLAINED VARIANCE, η2 (ONE-FACTOR ANOVA)?

A: The proportion of explained variance is known as the coefficient of determination. It is the ratio…

Q: What is the analysis of variance.Interpret results

A: The analysis of variance is a statistical tool which splits the overall or aggregate variability in…

Q: please explain how to use the standard deviation from the 1-Var Stats statistical output to obtain…

A: Hint:  Standard devation =Variance

Q: Describe the sources of within groups variance. How does within groups variance affect the range of…

A: Given information: It is required to describe the sources of within groups variance.

Q: Why is the unbiased estimator of variance used?

A: the unbiased estimator of the population variance, corrects the tendency of the sample variance to…

Q: Explain Two-Way Analysis of Variance?

A: ANOVA: Anova is used for comparing the means whether they are equal or different.

Q: Give examples of at least two pairs of data that will most likely yield different variance and…

A: The answer to the above question is as follows :

Q: what happens to the F-statistic if two variances are different?

A: The two variances are different hence the F-statistic are as follows,

Q: what test is used to determine whether two population means are different when the variance are…

A: The test that is used to determine if the two population means are different when the population…

Q: Give a simple explanation on why statisticians think the sample variance is biased estimator of the…

A: Sample variance is a biased estimator of population variance whereas sample mean square is an…

Q: Why Calculation of power is more complex for Analysis of Variance?

A: Introduction: In Statistics, power of a test is defined as the capability of a test to detect…

Q: You are to pick a month from a non-leap year. What is the variance of number of days of the month?…

A: A non leap year has the months as follows: Jan Feb Mar Apr May June July Aug Sept Oct Nov Dec…

Q: Explain the reason for the word variance in the phrase analysis of variance.

A: In probability theory and statistics, variance is the prediction that a random variable would…

Q: What is the Weakness of Variance?

A: Solution: The major weakness of variance is given

Q: How to Reconstruct the Variance step by step?

A:

Q: Analysis of Variance can also be called as F-test. true or false?

A: As we know that analysis of variance which is ANOVA . In this we can calculate F - value which is…

Q: Explain how the variance in the numerator and denominator of each F-ratio of a 2-way ANOVA is…

A: Variance in the Numerator and Denominator for 2-Way ANOVA

Q: is take for one-way between-subjects analysis of variance? Why can’t it be summarized in a single…

A: The amount of variation among the sample means or the variation attributable to the difference among…

Q: If the probability that an object dropped from a certain height will strike the ground is 80 percent…

A: Solution- Given that , let p denote the probability that an object dropped from a certain height…

Q: What is the variance of random variables X, the outcome of rolling a fair die

A: The sample of rolling a fair die is {1,2,3,4,5,6}.

Q: Describe about the Pooled Variance Estimate.

A:

Q: what does MS stand for in analysis of variance?

A: Solution-: What does MS stand for in analysis of variance?

Q: mean [ Choose ] variance [ Choose ]

A: here given, coin shows a tail in four out of every five tosses

Q: Analysis of Variance can be used to test the significant difference of an independent variable and a…

A:

Q: true or false MSBetween represents the variability that is only affected by unsystematic factors.

A: The statement is not true.

Q: Explain the importance of mean and variance of random variable in decision-making. Relate it to STEM…

A: In statistics there are two types of measures namely measures of central tendency and…

Q: Give one method to increase statistical power and Which test statistic should you use if you are…

A: Given problem Given that   Method to increase the statistical power : a) Increase the sample size…

Q: How do I get the variance ?

A: The probability distribution is: x p(x) 1 0.05 2 0.1 3 0.12 4 0.3 5 0.3 6 0.11 7…

Q: Explain whether homogeneity of variance is satisfied for this analysis, and be clear on how you…

A: Homogeneity of Variance: Homogeneity of variance (homoscedasticity) is a crucial assumption shared…

Q: What is Pooled Variance Estimate?

A: Consider two samples, drawn randomly from the independently from the same population with sample…

Q: If the mean of grades in statistics = 65 and the variance : 400 , then the Z score of grade 50 =

A:

Q: variance of [

A: Given,       6 ,7 ,10 ,11 ,12 ,13 ,16 ,18 ,25

Q: Explain why the formulas for sample variance and population variance are different.

A: The definition of sample variance is that the mean squared distance from the mean. Sample variance…

Q: When is analysis of variance a more appropriate use of a statistical technique than a test between a…

A: ANOVA is simply the analysis of variance. It involves testing the difference between two or more…

Q: Explain Variance and efficiency?

A:

Q: Suppose it is believed that the probability a patient will recover from a disease following…

A: