How can we interpuret the data into plain English? If the Question is : What cha
ID: 3232385 • Letter: H
Question
How can we interpuret the data into plain English?
If the Question is :
What characteristics are associated with salary?
And we found the following characteristics are associated with the salary.
1.2a Salary and No. of years worked – Correlation Linear
1.2b Salary and position - ANOVA
1.2c Salary and minority status - Independent Sample T-test
1.2d Salary and sex - Independent Sample T-test
1.2e Salary and Formal education – Correlation
Where the output SPSS is as the following.
How can we interpret the data into plain English. Please highlight the data that we should pay attention to.
Correlations
annual_sal
yr_work
annual_sal
Pearson Correlation
1
-.084
Sig. (2-tailed)
.067
N
474
474
yr_work
Pearson Correlation
-.084
1
Sig. (2-tailed)
.067
N
474
474
1.2b
Oneway
Descriptives
annual_sal
N
Mean
Std. Deviation
Std. Error
95% Confidence Interval for Mean
Minimum
Maximum
Lower Bound
Upper Bound
1 Clerical
363
$55,677.08
$15,135.990
$794.433
$54,114.80
$57,239.36
$31,500
$160,000
2 Custodial
27
$61,877.78
$4,229.233
$813.916
$60,204.75
$63,550.81
$48,600
$70,500
3 Manager
84
$127,955.60
$36,489.552
$3,981.337
$120,036.88
$135,874.31
$68,820
$270,000
Total
474
$68,839.14
$34,151.323
$1,568.622
$65,756.80
$71,921.47
$31,500
$270,000
ANOVA
annual_sal
Sum of Squares
df
Mean Square
F
Sig.
Between Groups
357753935700.000
2
178876967900.000
434.481
.000
Within Groups
193912046000.000
471
411702857.800
Total
551665981700.000
473
Post Hoc Tests
Multiple Comparisons
Dependent Variable: annual_sal
Bonferroni
(I) position
(J) position
Mean Difference (I-J)
Std. Error
Sig.
95% Confidence Interval
Lower Bound
Upper Bound
1 Clerical
2 Custodial
-$6,200.698
$4,047.520
.379
-$15,925.12
$3,523.72
3 Manager
-$72,278.515*
$2,456.704
.000
-$78,180.90
-$66,376.13
2 Custodial
1 Clerical
$6,200.698
$4,047.520
.379
-$3,523.72
$15,925.12
3 Manager
-$66,077.817*
$4,488.817
.000
-$76,862.48
-$55,293.16
3 Manager
1 Clerical
$72,278.515*
$2,456.704
.000
$66,376.13
$78,180.90
2 Custodial
$66,077.817*
$4,488.817
.000
$55,293.16
$76,862.48
*. The mean difference is significant at the 0.05 level.
1.2c
T-Test
Group Statistics
minority
N
Mean
Std. Deviation
Std. Error Mean
annual_sal
0 "Non-minority"
370
$72,046.62
$36,088.191
$1,876.136
1 "Minority"
104
$57,427.88
$22,843.275
$2,239.967
Independent Samples Test
Levene's Test for Equality of Variances
t-test for Equality of Means
F
Sig.
t
df
Sig. (2-tailed)
Mean Difference
Std. Error Difference
95% Confidence Interval of the Difference
Lower
Upper
annual_sal
Equal variances assumed
28.487
.000
3.915
472
.000
$14,618.737
$3,734.222
$7,280.981
$21,956.493
Equal variances not assumed
5.003
262.188
.000
$14,618.737
$2,921.873
$8,865.415
$20,372.059
1.2d
T-Test
Group Statistics
sex
N
Mean
Std. Deviation
Std. Error Mean
annual_sal
0 "Male"
258
$82,883.57
$38,998.427
$2,427.936
1 Female
216
$52,063.84
$15,116.043
$1,028.516
Independent Samples Test
Levene's Test for Equality of Variances
t-test for Equality of Means
F
Sig.
t
df
Sig. (2-tailed)
Mean Difference
Std. Error Difference
95% Confidence Interval of the Difference
Lower
Upper
annual_sal
Equal variances assumed
119.669
.000
10.945
472
.000
$30,819.723
$2,815.813
$25,286.644
$36,352.803
Equal variances not assumed
11.688
344.262
.000
$30,819.723
$2,636.801
$25,633.455
$36,005.991
1.2e
Correlations
Correlations
annual_sal
highest
annual_sal
Pearson Correlation
1
.661**
Sig. (2-tailed)
.000
N
474
474
highest
Pearson Correlation
.661**
1
Sig. (2-tailed)
.000
N
474
474
**. Correlation is significant at the 0.01 level (2-tailed).
Correlations
annual_sal
yr_work
annual_sal
Pearson Correlation
1
-.084
Sig. (2-tailed)
.067
N
474
474
yr_work
Pearson Correlation
-.084
1
Sig. (2-tailed)
.067
N
474
474
Explanation / Answer
Answer:
How can we interpuret the data into plain English?
If the Question is :
What characteristics are associated with salary?
And we found the following characteristics are associated with the salary.
1.2a Salary and No. of years worked – Correlation Linear
Correlation between Salary and No. of years worked is -0.084, P=0.067 which is > 0.05 level. Correlation is not significant.
1.2b Salary and position – ANOVA
ANOVA result of average salary comparison 3 levels of position shows that F= 434.481, P=0.000 which is <0 .05 level. Position is significantly affect salary.
1.2c Salary and minority status - Independent Sample T-test
t test result of average salary comparison 2 levels of minority status shows that t=3.915, P=0.000 which is <0 .05 level. minority status is significantly affect salary.
1.2d Salary and sex - Independent Sample T-test
t test result of average salary comparison gender shows that t=10.945, P=0.000 which is <0 .05 level. gender is significantly affect salary.
1.2e Salary and Formal education – Correlation
Correlation between Salary and formal education is 0.661, P=0.000 which is < 0.05 level. Correlation is significant.
Characteristics are associated with salary are position, minority status, sex and Formal education.
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