Homework Answers
22. A) the variance within group is significantly larger than the variance between groups.
23. A) n-1
24. D. Yi and yicap
For best fitted line difference between the predicted and actual value is minimum
25. D. Ho refers to specific value of sample statistics.
Ho is null hypothesis on population parameter and not sample statistics.
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22. The analysis of variance methodology shows the difference between the means of several groups is...
1. Given the following analysis of variance table, compute mean squares for between groups and within...
1. Given the following analysis of variance table, compute mean squares for between groups and within groups. Compute the Fratio and test the hypothesis that the group means are equal. Do thefollowing test at 0.05 significance level (a = 0.05) Source of Variation Between groups Within groups Total Sum of Squares 1,000 750 1,750 Degrees of Freedom 4 115 19
When using a completely randomized design (one-way analysis of variance), the calculated F statistic will decrease...
When using a completely randomized design (one-way analysis of variance), the calculated F statistic will decrease as O The total variability decreases O The vanability among the groups decreases relative to the vanability within the groups O The total variability increases O The vanabamty among the groups Increases velative to the vanablity within the groups The variabiity among the 10. The least squares regression line minimizes the sum of the O Squared differences between actual and predicted Xvalues O Squared...
If between-groups variance is large, then we have observed a) experimenter effects. b) large systematic variance....
If between-groups variance is large, then we have observed a) experimenter effects. b) large systematic variance. c) large differences due to confounds. d) possibly both large systematic variance and large differences due to confounds. QUESTION 3 The larger the F-ratio, the greater the chance that a) a mistake has been made in the computation. b) there are large systematic effects present. c) the experimental manipulation probably did not have the predicted effects. d) the between-groups variation is no larger than...
1. An analysis of variance with one dependent and one independent variable is referred to as:...
1.
An analysis of variance with one dependent and one independent
variable is referred to as:
A)
one-way ANOVA
B)
two-way ANOVA
C)
many-way ANOVA
D)
correlation
3. What is the
null hypothesis when using ANOVA?
A)
B)
C)
D)
4. What is
the research hypothesis when using ANOVA procedures?
A) all of the
group means are equal
B) all of the
group means are significantly different from all other group
means
C) at least one
of the group means is significantly different from...
26. ____ In analysis of variance, observed mean differences appear, somewhat disguised, as variability a) between...
26. ____ In analysis of variance, observed mean differences appear, somewhat disguised, as variability a) between groups b) between subjects c) within groups d) within subjects 27. ____ When all possible difference between pairs of population means are evaluated not with F test, but a series of regular t tests, the probability of a a) type I error is larger than the level of significance b) type I error is smaller than the level of significance c) type II error...
In an analysis of variance, differences caused by treatment effects, i.e., different levels of the independent...
In an analysis of variance, differences caused by treatment effects, i.e., different levels of the independent variable, contribute to which of the following variances? answer choices Within group and between group variances Variances among the sample means Variance within groups Neither within nor between
In a one-factor ANOVA for independent samples, the mean differences between-groups caused by a treatment effect...
In a one-factor ANOVA for independent samples, the mean differences between-groups caused by a treatment effect contribute to which of the following variances (i.e., Mean Sum of Squares, MS0? A. Both between-treatments variance and within-treatments variance B. Between-treatments variance but not within-treatments variance C. Within-treatments variance but not between-treatments variance D. None of the above.
Mean Square (Variance) Degrees of Sum of Source Freedom Squares Consider an experiment with nine groups, with eight val...
Mean Square (Variance) Degrees of Sum of Source Freedom Squares Consider an experiment with nine groups, with eight values in each. For the ANOVA summary table shown to the right, fill in all the missing results. Among FSTAT ? MSA 22 SSA ? c-1 ? groups Within MSW ? SSW 693 n c groups Total SST ? n-1 2 Complete the ANOVA summary table below. Degrees of Freedom Sum of Mean Square (Variance) MSA 22 Source Squares FSTAT Among groups...
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...
Analysis of variance compares the means of a response variable for several groups. ANOVA compares the...
Analysis of variance compares the means of a response variable for several groups. ANOVA compares the variation within each group to the variation of the mean of each group. The ratio of these two is the F statistic from an F distribution with (number of groups - 1) as the numerator degrees of freedom and (number of observations - number of groups) as the denominator degrees of freedom. You intend to conduct an ANOVA with 4 groups in which each...
1. Given the following analysis of variance table, compute mean squares for between groups and within groups. Compute the Fratio and test the hypothesis that the group means are equal. Do thefollowing test at 0.05 significance level (a = 0.05) Source of Variation Between groups Within groups Total Sum of Squares 1,000 750 1,750 Degrees of Freedom 4 115 19
When using a completely randomized design (one-way analysis of variance), the calculated F statistic will decrease as O The total variability decreases O The vanability among the groups decreases relative to the vanability within the groups O The total variability increases O The vanabamty among the groups Increases velative to the vanablity within the groups The variabiity among the 10. The least squares regression line minimizes the sum of the O Squared differences between actual and predicted Xvalues O Squared...
1.
An analysis of variance with one dependent and one independent
variable is referred to as:
A)
one-way ANOVA
B)
two-way ANOVA
C)
many-way ANOVA
D)
correlation
3. What is the
null hypothesis when using ANOVA?
A)
B)
C)
D)
4. What is
the research hypothesis when using ANOVA procedures?
A) all of the
group means are equal
B) all of the
group means are significantly different from all other group
means
C) at least one
of the group means is significantly different from...
Mean Square (Variance) Degrees of Sum of Source Freedom Squares Consider an experiment with nine groups, with eight values in each. For the ANOVA summary table shown to the right, fill in all the missing results. Among FSTAT ? MSA 22 SSA ? c-1 ? groups Within MSW ? SSW 693 n c groups Total SST ? n-1 2 Complete the ANOVA summary table below. Degrees of Freedom Sum of Mean Square (Variance) MSA 22 Source Squares FSTAT Among groups...
Analysis of variance compares the means of a response variable for several groups. ANOVA compares the variation within each group to the variation of the mean of each group. The ratio of these two is the F statistic from an F distribution with (number of groups - 1) as the numerator degrees of freedom and (number of observations - number of groups) as the denominator degrees of freedom. You intend to conduct an ANOVA with 4 groups in which each...
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