STATISTIC 1

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InstructionsandDataforAssignment.docx

Instructions:

Review this document in its entirety! You are asked to interpret the data and write a report of your findings and inferences. You are also testing the hypotheses and you will determine whether or not to reject the null-hypotheses. Based on that determination, you will make a recommendation to your COO.

Background: You are the Human Resources Manager of a company that cares greatly about its employee development program, especially pertaining to the millennial generation. You are aware of a study that compared traditional mentoring practices to reverse mentoring practices and you want to make a recommendation to the Chief Operating Officer about implementing a reverse mentoring program. Turnover is high, and you think that reverse mentoring may increase affective commitment and employees will stay in the organization. Reverse mentoring refers to tenured and older employees being mentored by new, younger employees. Traditional mentoring is the practice of an older, tenured worker mentoring a new employee. Your company already participates in a traditional mentoring program.

You only have parts of the study and the interpretation of the data is missing. The question the study answered is as follows:

Q1. Among employees of the millennial generation who participated in a mentoring program, to what extent, if any, does affective commitment to the organization differ based on participation in reverse vs. traditional mentoring, while controlling for quality and length and frequency of mentoring relationship.

Hypotheses

H10. There is no significant difference in affective commitment to the organization between Millennials participating in reverse mentoring compared to Millennials participating in traditional mentoring, controlling for quality and length and frequency of mentoring relationship.

H1a. There is a significant difference in affective commitment to the organization between Millennials participating in reverse mentoring compared to Millennials participating in traditional mentoring, controlling for quality and length and frequency of mentoring relationship.

Descriptive Statistics

Table 3

Demographic Survey Age

 

Answer

Response

%

1

18 - 23

10

11

2

24 - 29

41

46

3

30 - 34

39

43

Note: N = 90

Table 4

Demographic Survey Gender

 

Answer

Response

%

1

Male

39

43

2

Female

51

57

Note: N = 90

Table 5

Demographic Survey Length of Employment

 

Answer

Response

%

1

Less than 1 year

6

7%

2

1 year but less than 2 years

24

27%

3

2 years or more

60

67%

Note: N = 90

Table 6

Demographic Survey Level of Education

 

Answer

Response

%

1

Doctoral Degree

4

4%

2

Master Degree

15

17%

3

Bachelor Degree

35

39%

4

Associates Degree

18

20%

5

High School

18

20%

6

Did not graduate High School

0

0%

Note: N = 90

LMX-7 Scores Calculation and Interpretation

DATA:

Based on the responses of each participant the LMX-7 score was calculated by totaling the responses to the 7 questions. On a Likert-type scale, points where assigned to each answer ranking from 1 to 6. The following guidelines established by Graen and Uhl-Bien (1995) were used to interpret the meaning of the scores: very high = 30–35, high = 25–29, moderate = 20–24, low = 15–19, and very low = 7-14. Scores in the upper ranges indicate stronger, higher-quality exchanges, whereas scores in the lower ranges indicate exchanges of lesser quality.

Table 7

LMX-7 Scores (groups combined)

 

Answer

Response

%

1

Score of 30-35 - very high

39

43%

2

Score of 25-29 - high

36

40%

3

Score of 20-24 - moderate

12

13%

4

Score of 15-19 - low

3

3%

5

Score of 7-14 - very low

0

0%

Note: N = 90

Table 8

LMX-7 Scores (Traditional Mentoring Group)

 

Answer

Response

%

1

Score of 30-35 - very high

18

40%

2

Score of 25-29 - high

20

44%

3

Score of 20-24 - moderate

5

11%

4

Score of 15-19 - low

2

4%

5

Score of 7-14 - very low

0

0%

Note: N = 45

Table 9

LMX-7 Scores (Reverse Mentoring Group)

 

Answer

Response

%

1

Score of 30-35 - very high

21

47%

2

Score of 25-29 - high

16

36%

3

Score of 20-24 - moderate

7

16%

4

Score of 15-19 - low

1

2%

5

Score of 7-14 - very low

0

0%

Note: N = 45

Length and Frequency of Mentoring

Length and frequency of mentoring was measured by asking participants to select 1 of 4 options. The options were as follows: a) less than six months, b) at least six months with a minimum of two interactions, c) six months to one year with at least four interactions, d) one year or more with five or more interactions. For analyses purposes the string answers were converted to numerical values with 1 representing less than 6 months, 2 represented at least six months with a minimum of two interactions, 3 represented six months to one year with at least four interactions, and 4 represented one year or more with five or more interactions.

Table 10

Length and Frequency of Mentoring (groups combined)

 

Answer

Response

%

1

less than 6 months

10

11%

2

at least 6 months with a minimum of 1 interaction

21

23%

3

six months to one year with at least four interactions

31

35%

4

one year or more with five or more interactions

28

31%

Note: N = 90

Table 11

Length and Frequency of Mentoring (Traditional Mentoring Group)

 

Answer

Response

%

1

less than 6 months

5

11%

2

at least 6 months with a minimum of 1 interaction

10

22%

3

six months to one year with at least four interactions

17

38%

4

one year or more with five or more interactions

13

29%

Note: N = 45

Table 12

Length and Frequency of Mentoring (Reverse Mentoring Group)

 

Answer

Response

%

1

less than 6 months

5

11%

2

at least 6 months with a minimum of 1 interaction

11

25%

3

six months to one year with at least four interactions

14

31%

4

one year or more with five or more interactions

15

33%

Note: N = 45

Affective Commitment Scores

Based on participant responses ranging from strong agreement to strong disagreement to eight questions from the Meyer and Allen (1991) Affective Commitment Survey, totals were calculated for each response with the highest possible score being 48 and the lowest possible score being 8. Four items in the commitment scale were worded such that strong agreement actually reflected a lower level of commitment and were designed this way to encourage participants to think about each statement carefully rather than agreeing or disagreeing with statements in a pattern. These four items were thus calculated in reverse key. The higher the score, the greater the affective commitment to the organization (Meyer & Allen, 1991).

Table 13

Affective Commitment Scores (groups combined)

 

Answer

Response

%

1

40-48 very high level of commitment

34

38%

2

31-39 high level of commitment

30

33%

3

21-30 moderate to low level of commitment

25

28%

4

20 < very low level of commitment

1

1%

Note: N = 90

Table 14

Affective Commitment Scores (Traditional Mentoring Group)

 

Answer

Response

%

1

40-48 very high level of commitment

14

31%

2

31-39 high level of commitment

15

33%

3

21-30 moderate to low level of commitment

16

36%

4

20 < very low level of commitment

0

0%

Note: N = 45

Table 15

Affective Commitment Scores (Reverse Mentoring Group)

 

Answer

Response

%

1

40-48 very high level of commitment

20

44%

2

31-39 high level of commitment

15

33%

3

21-30 moderate to low level of commitment

9

20%

4

20 < very low level of commitment

1

2%

Note: N = 45

Analysis of Covariance (ANCOVA)

A one-way ANCOVA was used to compare the traditional mentoring group to the reverse mentoring group to determine whether the different types of mentoring showed significant differences on affective commitment to the organization. Leader-member exchange quality (LMX) and length and frequency of mentoring (LFM) were used as covariates to determine if LMX and LFM would influence outcomes.

Figure 2 Linearity between LMX/LFM/Affective Commitment

Table 16

Homogeneity of Regression Slopes

Source

Type III Sum of Squares

df

Mean Square

F

Sig.

Corrected Model

977.187

5

195.437

4.796

.001

Intercept

469.941

1

469.941

11.531

.001

Mentoring Group

17.308

1

17.308

.425

.516

LFM

112.871

1

112.871

2.770

.100

LMX

814.048

1

814.048

19.975

.000

Mentoring Group * LFM

133.113

1

133.113

3.266

.074

Mentoring Group * LMX

2.708

1

2.708

.066

.797

Error

3423.313

84

40.754

Total

119963.000

90

Corrected Total

4400.500

89

Table 17

Shapiro-Wilk’s Tests of Normality

Kolmogorow-Smirnova

Shapiro-Wilk

Type of mentoring

Statistic

df

Sig.

Statistic

df

Sig.

Standardized Residual for

Traditional

.079

45

.200*

.983

45

.727

Affective Commitment

Reverse

.093

45

.200*

.972

45

.336

Note: *This is lower bound of the true significance a. Lilliefors Significance Correction

There was homogeneity of variances, as assessed by Levene’s test of homogeneity of variance (p = .868).

Figure 3 Homoscedasticity

Table 18

Levene’s Test of Equality of Error Variances

Dependent Variable: Affective Commitment

F

df1

df2

Sig.

.028

1

88

.868

Table 19

Mean and Standard Deviation

Type of Mentoring

Mean

Std. Deviation

N

Traditional

35.02

6.861

45

Reverse

36.64

7.183

45

Total

35.83

7.032

90

Table 20

Adjusted Means

95% Confidence Interval

Group

Mean

Std. Error

Lower Bound

Upper Bound

Traditional

34.984a

.959

33.078

36.890

Reverse

36.683 a

.959

34.776

38.589

Note: a = covariates appearing in the model are evaluated at the following values: LMX = 28.63, LFM = 2.86.

Table 21

Test of Between-Subjects Effects

Dependent Variable: Affective Commitment

Source

Type III Sum of Squares

df

Mean Square

F

Sig.

Partial Eta Squared

Corrected Model

842.173

3

280.724

6.785

.000

.191

Intercept

523.554

1

523.554

12.654

.001

.128

LMX

768.103

1

768.103

18.564

.000

.178

LMF

114.683

1

114.683

2.772

.100

.031

Mentoring Group

64.919

1

64.919

1.569

.214

.018

Error

3558.327

86

41.376

Total

119963.000

90

Corrected Total

4400.500

89

To further evaluate the differences between reverse and traditional mentoring and affective commitment to the organization, two sub-groups were extracted from the overall data. The sub-groups were divided into the participants that had a very high or high affective commitment score and the participants who had a moderate to low or very low affective commitment score.

Table 22

Means of Affective Commitment (high/low), LMF, LMX

Traditional Low Affective Commitment

Reverse

Low

Affective Commitment

Traditional High Affective Commitment

Reverse High Affective Commitment

 

LFM

2.77

3.08

2.95

2.64

LMX

27.19

27.7

30.68

29.55

Affective Commitment

30.08

30.78

41.79

42.77

Note: N = 90; 41 High Affective Commitment (22 Reverse, 19 Traditional); 49 Low Affective Commitment (23 Reverse, 26 Traditional)

Table 23

Means of Affective Commitment, LMF, LMX by Age Group

Age Group

LFM

LMX

Affective Commitment

18-23

2.50

27.30

34.40

24-29

2.83

28.66

35.17

30-34

2.97

28.95

36.90

Note: N = 90