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WorksheetsQuiz - III: ANOVA (Probability and Statistics)
Total questions: 20
Worksheet time: 10mins
Analysis of variance is a statistical method of comparing the ______ of several populations.
Means
Population
Variance
Standard Deviation
The error sum of squares can be obtained from the equation in 2 way ANOVA is __________
SSE=SST - SSC
SSE=SST - SSC - SSR
SSE=SST - SSC -SSR - SSK
None of these
The degrees of freedom for the error sum of squares in 2 way ANOVA is _________________
(Number of observations) - (Number of groups)
(Number of groups) - 1
(Number of observations) - 1
(Number of groups) + (Number of observations) - 2
When conducting an ANOVA, F - DATA will always fall within what range?
0 to 1
-1 to +1
less than 0
0 to infinity
What is the primary purpose of ANOVA?
Comparing means across three or more groups
Comparing SD's across three or more groups
Comparing variance across three or more groups
None of the above
In the ANOVA, treatment refers to ____________________________
Medical Expenses
General Expenditure
Sales Percentage
Different levels of a factor
In an analysis of variance problem if SST = 120 and SSC = 80, then SSE is _____
40
50
80
120
In the analysis of variance procedure (ANOVA), "factor" refers to __________
Table
Level of significance
Degrees of freedom
The independent variable
Given below are two statements: Statement I: ANOVA is essentially a procedure for testing the difference among different groups of data for homogeneity. Statement II: Using ANOVA one can draw the inference about whether the samples have been drawn from populations having the same mean. Based on the above, the correct statements are__________________________
I alone correct
II alone correct
Both are incorrect
Both are correct
In an analysis of variance problem involving 3 treatments and 10 observations per treatment, SSE = 399.6. Then MSE = ________________
A. 14.8
B. 399.6
C. 30
D. 10
The F ratio in a completely randomized ANOVA is the ratio of ____________
F=MSC / MSE
F=MSR / MSE
F=MSK / MSE
None
For the ANOVA table | Source of variation | Sum of squares | Degrees of freedom | |--------------------|---------------|-------------------| | Between treatment | 45 | 3 | | Error | 32 | 16 | | Total | 97 | 19 | The F-statistics is ________
A. 15
B. 99
C. 2
D. 7.5
Given below is a summary of ANOVA for four groups of students tested in a research project: | Source of variation | Sum of squares | Degrees of freedom | Mean sum of squares | |--------------------|---------------|-------------------|--------------------| | Between groups | 76 | 3 | 23.33 | | Within groups | 122 | 16 | 7.62 | The value of 'F' for the above data is __________
A. 23.33 / 7.62
B. 7.62 / 23.33
C. 23.33 / 3
D. 7.62 / 16
The ________ sum of squares measures the variability of the observed values around their respective treatment means.
Error
Binomial
Poisson
Normal
The mean square is the sum of squares divided by ____________________
Degrees of freedom
ANOVA
Treatment
Blocks
The number of times each experimental condition is observed in a factorial design is known as ___
Statistics
Probability
Sample
Replication
A term that means the same as the term "variable" in an ANOVA procedure is __
Factor
ANOVA
Expectation
Design
In a completely randomized experimental design involving five treatments, 13 observations were recorded for each of the five treatments (a total of 65 observations). The following information is provided. SSC = 200 (Sum Square between Treatments); SST= 800 (Total Sum Square) Refer to design I, the sum of squares within the treatments (SSE) is __________
200
800
600
0
In a completely randomized experimental design involving five treatments, 13 observations were recorded for each of the five treatments (a total of 65 observations). The following information is provided. SSC = 200 (Sum Square between Treatments); SST= 800 (Total Sum Square) Refer to design I, the number of degrees of freedom corresponding to between column is ___
A. 13
B. 5
C. 60
D. 4
Refer to design I, the number of degrees of freedom between error is
A. 13
B. 5
C. 60
D. 420.
