Standardized Residuals Analysis (2)

Standardized Residuals Analysis (2). Advanced practice questions on standardized residuals analysis. Online statistics practice with full solutions and step-by-step explanations.

Advanced standardized residuals practice — identifying patterns, visual interpretation. Continuation from Part 1.

20 questions

Question 1

5.00 pts

1:
chi-square?

a measure checking how far O is from E, after statistical standardization

the simple difference between O and E, without standardization

the expected frequency

the observed frequency

Explanation:

how many observed standard deviation. .

Question 2

5.00 pts

2:
?

\( r_{ij} = \frac{O_{ij} - E_{ij}}{\sqrt{E_{ij}}} \)

\( r = O + E \)

\( r = \sqrt{OE} \)

\( r = E - O \)

Explanation:

O-E , standard deviation.

Question 3

5.00 pts

3:
r = 2. because ?

the observed is about 2 standard deviations above the expected

observed .

no deviation at all

the cell is not included in the analysis

Explanation:

r=2 . calculate .

Question 4

5.00 pts

4:
r = -3. ?

the observed is about 3 standard deviations below the expected

observed .

no deviation

the cell has no effect at all

Explanation:

large – .

Question 5

5.00 pts

5:
?

values above |2| are considered outliers

because 0 calculate .

every negative value is an outlier

every positive value is an outlier

Explanation:

|r| 2 3 .

Question 6

5.00 pts

6:
chi-square?

the cell's contribution is r²

no connection between the two

the cell's contribution is r×E

equal -E .

Explanation:

because \( \chi^2 = \sum r^2 \), |r| large large more .

Question 7

5.00 pts

7:
observed () (). ?

the observed is below the expected so r will be negative

the observed is above the expected so r is positive

impossible to determine

No .

Explanation:

14 small -20 Yes O-E → r .

Question 8

5.00 pts

8:
?

when a significant relationship is found and we want to understand exactly where it occurs

No .

when there is no table

Explanation:

. No .

Question 9

5.00 pts

9:
r = 0?

the observed equals the expected exactly

there was a calculation error

the cell is not included

this is an impossible value

Explanation:

O=E – Yes r=0.

Question 10

5.00 pts

10:
more ?

thinking a standardized residual is O−E rather than the difference in standard deviation units

always .

more large.

thinking they replace the χ² value

Explanation:

O-E r. r .

Question 11

5.00 pts

11:
because because variables?

because large more.

O large more.

E large more.

O equal E.

Explanation:

. because r large .

Question 12

5.00 pts

12:
find because . ?

in the younger age group there are more successes than expected according to the independence model

no connection between age and success

the younger age group has fewer successes than expected

because .

Explanation:

because O large E . more No .

Question 13

5.00 pts

13:
?

treating each residual as if it is a separate significance test, without accounting for multiple comparisons

calculate always r O equal E.

ignoring residuals entirely and looking only at the chi-square value

Explanation:

, . r , .

Question 14

5.00 pts

14:
H0 , distribution large?

they are approximately distributed like standard Z variables (mean zero and standard deviation one)

always .

always t 1 .

Explanation:

, normal . because 2 , 3 .

Question 15

5.00 pts

15:
O equal 30 E equal 20. r?

2.2.

0.5.

Explanation:

calculate
\( r = \frac{O - E}{\sqrt{E}} = \frac{30 - 20}{\sqrt{20}} \approx \frac{10}{4.47} \approx 2.2 \).

Question 16

5.00 pts

16:
. large more?

r equal 2.8.

r equal 1.2.

r equal 0.5.

r equal 1.8.

Explanation:

large more r more , 2.8.

Question 17

5.00 pts

17:
?

the raw residual is O minus E; the standardized residual is the difference divided by its standard deviation

always .

standardized residual is O plus E

no difference — two names for the same thing

Explanation:

, how many large equal .

Question 18

5.00 pts

18:
Yes large?

because because .

because r No large.

because r always small No large.

because No .

Explanation:

how many because r large . No .

Question 19

5.00 pts

19:
because Correct No find ?

describe which cells with large residuals explain the relationship and interpret them in context

present only the full table of all residuals without interpretation

ignore the residuals and present only p

Explanation:

: categories , .

Question 20

5.00 pts

20:
because ?

after finding a general relationship in the table, residual analysis tells us where exactly the relationship is strongest

a measure that only measures sample size

Explanation:

. No Yes .