Suppose that you want to compare the means of several treatments in a randomized block ANOVA. If given the choice between using the randomized block ANOVA test and the Friedman test, which one would you choose if outliers occur in the sample data? Explain your answer.

Q: Describe the difference between a one-way ANOVA and a factorial ANOVA?

A: One-factor ANOVA model: In one factor ANOVA model only one factor is studied, that is only the…

Q: Would an experiment design that would be analyzed with a repeated measures ANOVA be superior or…

A: It is good to use a repeated measures ANOVA when the measures are from the same persons at different…

Q: Why would we want to use three separate tests instead of ANOVA?

A: Why would we want to use three separate tests instead of ANOVA?

Q: In two-way ANOVA, identify the statistic that is used as a measure of variationa. among the sample…

A: (a)Sum of squares for factor A:The component SSA represents the variation among the sample means for…

Q: What happens to the power of a hypothesis test if the sample size is increased without changing the…

A: For a fixed significance level, increasing the sample size increase the power of a hypothesis test.…

Q: If the null hypothesis is true, this means that there is no real difference between sample means and…

A: If the null hypothesis is true, this means that there is no real difference between sample means and…

Q: What is the similarity between one-way ANOVA and a t-test?

A: Answer: A

Q: Discuss the advantage of the independent sample test compared with the advantage of the one sample…

A: In hypothesis testing we test the hypothesis regarding the population parameter.

Q: Explain why it is sometimes preferable to employ a randomized block design instead of a completely…

A: In a randomized block design, the experimental units are first divided into homogeneous sub-groups…

Q: Suppose that you want to compare the means of three populations by using one-way ANOVA. If the…

A: One-way ANOVA is performed to compare the three population means with the sample sizes of 5, 6 and…

Q: Which is the most striking feature of a two-factor ANOVA?

A:

Q: For a one-way ANOVA test, suppose that, in reality, the null hypothesis is false. Does that mean…

A: ANOVA: Hypotheses: H0: µ1 = µ2 = µ3 =…= µk. H1: At least one of the µ’s different.

Q: What are the criteria for an experiment to be a binomial experiment?

A: Let us consider the below example: A fair coin is flipped 10 times; X represents the number of…

Q: Discuss the basic strategy for comparing the means of two populations based on independent simple…

A: Simple random sample:It is a subset of the population, in which each element in the population…

Q: What is statistical inference ? How do you conduct a comparative experiment ?

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: If the null hypothesis is rejected for a One-Way ANOVA, then what test should you conduct?

A: If the null hypothesis is rejected for a One-Way ANOVA, then it means that the means of all groups…

Q: What is the Two-Factor ANOVA which is in one set of possible outcomes for the two-factor study?

A:

Q: Describe the difference between a two-sample (independent) t-test and an ANOVA (in terms of what…

A: Comparison of two sample t test and ANOVA

Q: Provide an example (different from the ones considered in this section) of a procedure based on a…

A: A researcher wants to test the effectiveness of the training program conducted for students to…

Q: Why would a researcher choose to conduct an One-Way ANOVA rather than multiple independent samples…

A: Solution-: Why would a researcher choose to conduct an One-Way ANOVA rather than multiple…

Q: State two differences between a cluster sample and a stratified random sample

A: Stratified Sampling: Stratified sampling is a sampling method, in which the population is divided…

Q: an independent-samples t test, you will usuall

A: the test statistic for independent-samples t test = μ1-μ2-0combined standard deviation

Q: . What is the difference between sampling error and sampling bias? Which one is very concerning to…

A: Sampling error is defined as the deviation in the sample values with those of the population. This…

Q: Samples that are not chosen randomly from the population might exhibit bias   True  False

A: Drawing the sample from population is known as sampling procedure. If we did not choose appropriate…

Q: What does One-Factor ANOVA tests?

A:

Q: What is the purpose of the Z-Test for 2 Un-Paired Populations?  How would you apply this type of…

A: A z-test is a statistical test to determine whether two population means are different when the…

Q: What test would be best to use if there was a statistical difference between brands in an…

A: ANOVA : - It is statistical technique to measure the difference in mean between more than 2 groups.…

Q: When doing an ANOVA, you observe large differences in means between groups. Within the ANOVA…

A: ANOVA: It is a statistical method for testing hypotheses regarding the mean difference among two or…

Q: Describe In what sense does a two-factor ANOVA use observations more efficiently than a one-factor…

A: Solution: One-Way ANOVA compares three or more levels of one factor.However, some experiments…

Q: What is the benefit of using a factorial design over multiple one-way ANOVAs?

A: step 1: The  factorial designs is an experiment in which different factors at different levels are…

Q: A researcher compares differences in positivity between participents in a low, middle, or upper…

A: The one-way between-subjects ANOVA is a statistical technique used for the comparison of more than…

Q: explain why two parameters are used in a two sample test

A: Here in the two parameters we take in two sample t-test because, we take samples from two…

Q: Justify when and why we should use the Kolmogorov-Smirnov test to statistically analyze data in…

A: Please find the explanation below. Thank you

Q: Explain the reasons to study randomized controlled experiments?

A:

Q: Does having a non-significant P-value means that the means of the sample will be the same? explain

A: The hypotheses for the means is constructed as: H0: The means of the sample will be the same. H1:…

Q: You can reduce the risk of a Type I error by using a larger sample. True or False?

A: Type-I error: Type I error is rejecting the null hypothesis when the null hypothesis is actually…

Q: What is a paired sample t-test used for?

A:

Q: Think of a research scenario for which either 1-way or 2-way ANOVA would be needed to analyze the…

A: ANOVA is splitting up of total variance into variance due to several factors and variance due to…

Q: Discuss the basic strategy for comparing the means of two populations based on a simple random…

A: Explain the basic strategy for comparing the means of the two populations based on a simple random…

Q: a.) Interpret the result of the Analysis of Variance (ANOVA). What is the statistical decision and…

A: Based on the information provided in the question , Here the Null and Alternate Hypothesis would…

Q: When would you use a one-way ANOVA test rather than an independent sample t-test

A: T- test  T-test is the method to know whether the two population are statistically different or not.…

Q: If we are examining 8 different pairwise comparisons and we do not adjust for multiple comparisons,…

A: Let 'x' denote the probability of type-1 error in a particular comparision.Let 'x' denote the number…

Q: If the null hypothesis is true, then what does the distribution of sample means?

A: Null Hypothesis: A hypothesis which is tested for plausible rejection is called the Null Hypothesis…

Q: Discuss the basic strategy for performing a hypothesis test to compare the means of two populations,…

A: In two sample t test, there are two independent large samples taken from two different populations.

Q: Even if a treatment has no effect, it is still possible to obtain an extreme sample mean that is…

A: According to the provided information, if a treatment has no effect, the extreme sample mean that is…

Q: Suppose in a two-way ANOVA table,the total sample size N is 30, factor Ahas 3 levels, and the…

A: From the provided information, Total sample size (N) = 30 Levels of Factor A (r) = 3 The degree of…

Q: One advantage of a within subjects ANOVA is that the participants serve as their own comparisons…

A: Here we want to know given statement is correct or not.