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Quiz - III: ANOVA (Probability and Statistics)

Total questions: 20

Worksheet time: 10mins

Name
Class
Date
1.

Analysis of variance is a statistical method of comparing the ______ of several populations.

a)

Means

b)

Population

c)

Variance

d)

Standard Deviation

2.

The error sum of squares can be obtained from the equation in 2 way ANOVA is __________

a)

SSE=SST - SSC

b)

SSE=SST - SSC - SSR

c)

SSE=SST - SSC -SSR - SSK

d)

None of these

3.

The degrees of freedom for the error sum of squares in 2 way ANOVA is _________________

a)

(Number of observations) - (Number of groups)

b)

(Number of groups) - 1

c)

(Number of observations) - 1

d)

(Number of groups) + (Number of observations) - 2

4.

When conducting an ANOVA, F - DATA will always fall within what range?

a)

0 to 1

b)

-1 to +1

c)

less than 0

d)

0 to infinity

5.

What is the primary purpose of ANOVA?

a)

Comparing means across three or more groups

b)

Comparing SD's across three or more groups

c)

Comparing variance across three or more groups

d)

None of the above

6.

In the ANOVA, treatment refers to ____________________________

a)

Medical Expenses

b)

General Expenditure

c)

Sales Percentage

d)

Different levels of a factor

7.

In an analysis of variance problem if SST = 120 and SSC = 80, then SSE is _____

a)

40

b)

50

c)

80

d)

120

8.

In the analysis of variance procedure (ANOVA), "factor" refers to __________

a)

Table

b)

Level of significance

c)

Degrees of freedom

d)

The independent variable

9.

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__________________________

a)

I alone correct

b)

II alone correct

c)

Both are incorrect

d)

Both are correct

10.

In an analysis of variance problem involving 3 treatments and 10 observations per treatment, SSE = 399.6. Then MSE = ________________

a)

A. 14.8

b)

B. 399.6

c)

C. 30

d)

D. 10

11.

The F ratio in a completely randomized ANOVA is the ratio of ____________

a)

F=MSC / MSE

b)

F=MSR / MSE

c)

F=MSK / MSE

d)

None

12.

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)

A. 15

b)

B. 99

c)

C. 2

d)

D. 7.5

13.

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)

A. 23.33 / 7.62

b)

B. 7.62 / 23.33

c)

C. 23.33 / 3

d)

D. 7.62 / 16

14.

The ________ sum of squares measures the variability of the observed values around their respective treatment means.

a)

Error

b)

Binomial

c)

Poisson

d)

Normal

15.

The mean square is the sum of squares divided by ____________________

a)

Degrees of freedom

b)

ANOVA

c)

Treatment

d)

Blocks

16.

The number of times each experimental condition is observed in a factorial design is known as ___

a)

Statistics

b)

Probability

c)

Sample

d)

Replication

17.

A term that means the same as the term "variable" in an ANOVA procedure is __

a)

Factor

b)

ANOVA

c)

Expectation

d)

Design

18.

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 __________

a)

200

b)

800

c)

600

d)

0

19.

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)

A. 13

b)

B. 5

c)

C. 60

d)

D. 4

20.

Refer to design I, the number of degrees of freedom between error is

a)

A. 13

b)

B. 5

c)

C. 60

d)

D. 420.