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 NIGHTBOYS: 44 42 45 41 41 41 39 36 40 36 GIRLS: 48 60 49 52 47 52 53 42 52 60More info:-critical value of F : 4.493998-obtained value of the interaction F= 12.033 1. What are the effect size/shared variability estimates, and what do they mean? GenderDescriptive StatisticDependent Variable: caloriesGender day_night| Mean Std. Deviation N1.001.002.0053.20007.429670539.20002.9495805Total46.20009.101890 102.5884401.002.002.0049.8000553.20007.4296705Total51.50005.542760 10Total1.002.0051.500046.20005.542760 109.101890 10Total48.85007.82220 20Levene's Test of Equality of Error Variances"LeveneStatisticdf1df2Sigcalories Based on Mean1.688316 210Based on Median1.155316 .358Based on Median and1.155 310.966 |.371with adjusted dfBased on trimmed mean1.80316.188Tests the null hypothesis that the error variance of the dependent variable is equal acrossgroups,a. Dependent variable: caloriesb. Design: Intercept + Gender + day_night + Gender * day_nightTests of Between-Subjects EffectsDependent Variable: caloriesТуре III Sumof Squares659.350*Partial EtaSourcedf Mean SquareSig.6.988 .003FSquaredCorrected Model219.78356747726.45047726.450 1517.534 .000InterceptGenderday nightGender * day_night.990140.450140.4504.466.051.218140.450140.4504.466 .051218378.450378.45012.033 .003.429Error503.200 1631.450Total48889.000 20Corrected Total1162.550 19Tests of Between-Subjects EffectsDependent Variable: caloriesSourceNoncent. Parameter Observed PowerCorrected Model20.965.9391.000510Intercept1517.534Gender4.466Day nightGender day night4.46651012.033902ErrorTotalCorrected Totala. R Squared = .567 (Adjusted R Squared = 486)b. Computed using alpha = .05

Report the effect size/shared variability estimates: Eta-square for the main effect of the factor…

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MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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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

1. What are the effect size/shared variability estimates, and what do they mean?

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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