o test if shift work leads to increase in caloric intake, a dietician had 20 of her clients record the amount of calories they consumed during the day. She believed those who work at night consumed more calories.  The data below are in hundreds of calories.  Is there a significant difference among the caloric inputs?         DAY         NIGHT BOYS: 44           42

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To test if shift work leads to increase in caloric intake, a dietician had 20 of her clients record the amount of calories they consumed during the day. She believed those who work at night consumed more calories.  The data below are in hundreds of calories.  Is there a significant difference among the caloric inputs? 

       DAY         NIGHT

BOYS: 44           42

          45           41

          41           41

          39           36

          40           36

 

GIRLS: 48          60

           49           52

           47           52

           53            42

            52          60

More info:

-critical value of F : 4.493998

-obtained value of the interaction F= 12.033

 

What is the significance level of the homogeneity of variances test?

Is the assumption violated?

 

 

Gender
Descriptive Statistic
Dependent Variable: calories
Gender day_night| Mean Std. Deviation N
1.00
1.00
2.00
53.2000
7.429670
5
39.2000
2.949580
5
Total
46.2000
9.101890 10
2.588440
1.00
2.00
2.00
49.8000
5
53.2000
7.429670
5
Total
51.5000
5.542760 10
Total
1.00
2.00
51.5000
46.2000
5.542760 10
9.101890 10
Total
48.8500
7.82220 20
Levene's Test of Equality of Error Variances"
Levene
Statistic
df1
df2
Sig
calories Based on Mean
1.688
3
16 210
Based on Median
1.155
3
16 .358
Based on Median and
1.155 3
10.966 |.371
with adjusted df
Based on trimmed mean
1.80
3
16.188
Tests the null hypothesis that the error variance of the dependent variable is equal across
groups,
a. Dependent variable: calories
b. Design: Intercept + Gender + day_night + Gender * day_night
Tests of Between-Subjects Effects
Dependent Variable: calories
Туре III Sum
of Squares
659.350*
Partial Eta
Source
df Mean Square
Sig.
6.988 .003
F
Squared
Corrected Model
219.783
567
47726.450
47726.450 1517.534 .000
Intercept
Gender
day night
Gender * day_night
.990
140.450
140.450
4.466.051
.218
140.450
140.450
4.466 .051
218
378.450
378.450
12.033 .003
.429
Error
503.200 16
31.450
Total
48889.000 20
Corrected Total
1162.550 19
Tests of Between-Subjects Effects
Dependent Variable: calories
Source
Noncent. Parameter Observed Power
Corrected Model
20.965
.939
1.000
510
Intercept
1517.534
Gender
4.466
Day night
Gender day night
4.466
510
12.033
902
Error
Total
Corrected Total
a. R Squared = .567 (Adjusted R Squared = 486)
b. Computed using alpha = .05
Transcribed Image Text:Gender Descriptive Statistic Dependent Variable: calories Gender day_night| Mean Std. Deviation N 1.00 1.00 2.00 53.2000 7.429670 5 39.2000 2.949580 5 Total 46.2000 9.101890 10 2.588440 1.00 2.00 2.00 49.8000 5 53.2000 7.429670 5 Total 51.5000 5.542760 10 Total 1.00 2.00 51.5000 46.2000 5.542760 10 9.101890 10 Total 48.8500 7.82220 20 Levene's Test of Equality of Error Variances" Levene Statistic df1 df2 Sig calories Based on Mean 1.688 3 16 210 Based on Median 1.155 3 16 .358 Based on Median and 1.155 3 10.966 |.371 with adjusted df Based on trimmed mean 1.80 3 16.188 Tests the null hypothesis that the error variance of the dependent variable is equal across groups, a. Dependent variable: calories b. Design: Intercept + Gender + day_night + Gender * day_night Tests of Between-Subjects Effects Dependent Variable: calories Туре III Sum of Squares 659.350* Partial Eta Source df Mean Square Sig. 6.988 .003 F Squared Corrected Model 219.783 567 47726.450 47726.450 1517.534 .000 Intercept Gender day night Gender * day_night .990 140.450 140.450 4.466.051 .218 140.450 140.450 4.466 .051 218 378.450 378.450 12.033 .003 .429 Error 503.200 16 31.450 Total 48889.000 20 Corrected Total 1162.550 19 Tests of Between-Subjects Effects Dependent Variable: calories Source Noncent. Parameter Observed Power Corrected Model 20.965 .939 1.000 510 Intercept 1517.534 Gender 4.466 Day night Gender day night 4.466 510 12.033 902 Error Total Corrected Total a. R Squared = .567 (Adjusted R Squared = 486) b. Computed using alpha = .05
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