Learnsmart Ch.13

In 2 way ANOVA without interaction, we partition the total sum of squares SST into ___ distinct components

3 SST = SSA + SSB + SSE

the competing hypotheses for a 1 way ANOVA test that compares the means of 3 populations are defined as

Ho: M1 = M2 = M3 Ha: not all population means are equal

the test statistic for a 1 way ANOVA test is equal to

MSTR/MSE

in 2 way ANOVA without interaction, we partition the total sum of squares SST into the following components:

SSA, SSB, SSE

which method ensures that the probability of a Type 1 error equals "a" (alpha)

Turkey's HSD method

in a 1 way ANOVA, within-treatments variability is based on

a weighted sum of the sample variances of each treatment

in order to determine if there is a difference between the means of 3 or more populations, we use...

analysis of variance (ANOVA)

in a completely randomized ANOVA design, if there are an equal number of observations in each sample, then the design is ____

balanced

in 1 way ANOVA, two independent estimates of the common population variances, (o^2) are estimated. these estimates are commonly referred to as

between-treatments variability and within-treatments variability

two-way ANOVA

compares population means based on two categorial variables or factors

the ____ is a weighted sum of the sample variances of each treatments

error sum of squares

a completely randomized sample design draws from _____.

independent random samples

a 1 way ANOVA test compares population ___ based on one categorical variable or factor

means

when using Fisher's least significant difference (LSD) method at some stated significance level, the probability of committing a Type 1 error increases as the number of

pairwise comparisons increases

in a 2 way ANOVA, if units within each block are randomly assigned to each of the treatments, then the design of the experiment is referred to as a

randomized block design

performing a 1 way ANOVA test, instead of performing a series of 2 sample t tests, ____ the risk of incorrectly rejecting the null hypothesis

reduces

in ANOVA testing, if the ration of the between-treatment variability to within-treatment variability is significantly greater than one, then we

reject the null hypothesis and conclude that not all population means are equal

a 1 way ANOVA test is better than using a series of 2 sample t tests because conducting a

series of two sample t tests inflates the risk of committing a type 1 error

Turkey's honestly significant differences (HSD) method uses ___ instead of ___ when compared to Fisher's least differences (LSD) method for pairwise comparisons

studentized range values, t values

which of the following is NOT an assumption for performing a 1 way ANOVA

the population correlation coefficients indicate a strong linear relationship

in 1 way ANOVA, one of the independent estimates of the common population variance is NOT based on

the population median

since ANOVA techniques were originally developed in connection with agricultural experiments, the term ___ is often used to identify the populations being examined for an ANOVA analysis

treatment

T/F : the 1 way ANOVA test is based on the F distribution

true

T/F : we use ANOVA to test for differences between population means by examining the amount of variability between the samples relative to the amount of variability within the samples

true

which of the following are assumptions for performing a 1 way ANOVA

1. the populations are normally distributed 2. the samples are selected independently 3. the population standard deviations are unknown but assumed equal

T / F : the ANOVA test simultaneously determines whether differences exist between the population means and identifies those population means that may differ

false

between-treatment variability is based on a weighted sum of squared differences between the sample means and the

grand mean

in a 2 way ANOVA test, the sum of squares for Factor B is based on the sum of the squared differences between the mean for each level of factor B and the __

grand mean

in a 1 way ANOVA test, if the amount of variability between treatments is significantly greater than the amount of variability within treatments, then we

reject the null hypothesis of equal population means