a. Report the results using APA format (see Chapter 12-14 modules for reference) • Ensure that you include in your results the following: (1) the statistical test used,  (2) the descriptive statistics, specifically M and SD of the samples/treatment  conditions/groups, (3) conclusion/s, (4) test statistic/s, (5) degrees of freedom/s,  (6) probability/ies of committing a Type I error, and (7) effect size/s. • Provide the results of the post hoc test/s and simple effects analyses if  necessary. • Ensure that the means, SDs, and required statistics are rounded off to two or  three decimal places. • Use a zero before the decimal point in numbers that are less than 1 when the  statistic can exceed 1, but do not use a zero before a decimal fr

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question

Answer the ff questions:

a. Report the results using APA format (see Chapter 12-14 modules for reference)
• Ensure that you include in your results the following: (1) the statistical test used, 
(2) the descriptive statistics, specifically M and SD of the samples/treatment 
conditions/groups, (3) conclusion/s, (4) test statistic/s, (5) degrees of freedom/s, 
(6) probability/ies of committing a Type I error, and (7) effect size/s.
• Provide the results of the post hoc test/s and simple effects analyses if 
necessary.
• Ensure that the means, SDs, and required statistics are rounded off to two or 
three decimal places.
• Use a zero before the decimal point in numbers that are less than 1 when the 
statistic can exceed 1, but do not use a zero before a decimal fraction when 
the statistic cannot be greater than 1.
• Show how you got the test statistic/s and the effect size/s.
b. There is still some sort of debate if hot, warm, or cold water is effective in removing 
germs from clothing. Based on the results obtained, which temperature is the most 
effective? (Provide evidence to your answer by using the results from the post hoc 
test/s and/or simple effects analyses)

Because of their concerns with the COVID-19 pandemic, your parents, who looked frantic,
told you to do laundry regularly to help kill the said virus.
As it is probably your first time to do laundry, you want to determine whether the brand of
laundry detergent used and the temperature affects the amount of dirt removed from your
laundry. You bought in your local supermarket two different brands of detergent (i.e., Sealy
and Super Fisher) and chose three different temperature levels (i.e., cold, warm, and hot).
You then divided your laundry into 24 piles of equal size and assigned each 4 piles into the
combination of brand of detergent and temperature.
The data for the amount of dirt removed in pounds are found below (alpha at .05; apply
Tukey's HSD if necessary):
Sealy
Super
Fisher
Cold
4
5
6
5
M = 5.00
SD = 0.82
6
6
4
4
M = 5.00
SD = 1.15
M = 5.00
SD = 0.93
ANOVA Summary Table:
SOURCE
Between treatments
Detergent
Temperature
Interaction
Within treatments
Total
Warm
7
9
M = 9.00
SD = 2.16
8
12
M = 13.00
SD = 1.41
SS
236.83
20.17
200.33
13
15
12
12
M = 11.00
SD = 2.73
16.33
37.00
273.83
df
5
1
2
2
18
F
M = 10.50
SD = 1.29
MS
Hot
10
12
M = 12.00
SD = 1.41
??
??
11
9
M = 11.25
SD = 1.49
??
??
12
13
10
13
M = 8.17
SD = 2.79
M = 10.00
SD = 3.91
F(??, ??) = ??
F(??, ??) = ??
F(??, ??) = ??
Transcribed Image Text:Because of their concerns with the COVID-19 pandemic, your parents, who looked frantic, told you to do laundry regularly to help kill the said virus. As it is probably your first time to do laundry, you want to determine whether the brand of laundry detergent used and the temperature affects the amount of dirt removed from your laundry. You bought in your local supermarket two different brands of detergent (i.e., Sealy and Super Fisher) and chose three different temperature levels (i.e., cold, warm, and hot). You then divided your laundry into 24 piles of equal size and assigned each 4 piles into the combination of brand of detergent and temperature. The data for the amount of dirt removed in pounds are found below (alpha at .05; apply Tukey's HSD if necessary): Sealy Super Fisher Cold 4 5 6 5 M = 5.00 SD = 0.82 6 6 4 4 M = 5.00 SD = 1.15 M = 5.00 SD = 0.93 ANOVA Summary Table: SOURCE Between treatments Detergent Temperature Interaction Within treatments Total Warm 7 9 M = 9.00 SD = 2.16 8 12 M = 13.00 SD = 1.41 SS 236.83 20.17 200.33 13 15 12 12 M = 11.00 SD = 2.73 16.33 37.00 273.83 df 5 1 2 2 18 F M = 10.50 SD = 1.29 MS Hot 10 12 M = 12.00 SD = 1.41 ?? ?? 11 9 M = 11.25 SD = 1.49 ?? ?? 12 13 10 13 M = 8.17 SD = 2.79 M = 10.00 SD = 3.91 F(??, ??) = ?? F(??, ??) = ?? F(??, ??) = ??
Tukey's HSD (SPSS):
Dependent Variable: DirtRemoved
Bonferroni
(1) Temperature
1.00 Cold
2.00 Warm
3.00 Hot
Dependent Variable: DirtRemoved
(1) Temperature
2.00 Warm
3.00 Hot
1.00 Cold
3.00 Hot
1.00 Cold
2.00 Warm
Based on observed means.
The error term is Mean Square (Error) = 2.056.
The mean difference is significant at the
Temperature (1) Detergent
1.00 Cold
1.00 Sealy
2.00 Warm
3.00 Hot
2.00 Super Fisher 1.00 Sealy
1.00 Sealy
2.00 Super Fisher
1.00 Sealy
2.00 Super Fisher
Based on estimated marginal means
*. The mean difference is significant at the
b. Adjustment for multiple comparisons: Bonferroni.
Dependent Variable: DirtRemoved
Detergent
1.00 Sealy
2.00 Super Fisher
(0) Temperature
1.00 Cold
Simple Effect Analysis for Detergent for each level of Temperature (SPSS):
Pairwise Comparisons
2.00 Warm
3.00 Hot
Multiple Comparisons
Mean
Difference (1-
J)
1.00 Cold
2.00 Warm
Std. Error
-6.0000
.71686
-6.2500*
.71686
6.0000 .71686
-.2500 .71686
6.2500
.2500
3.00 Hot
(1) Detergent
2.00 Super Fisher
2.00 Super Fisher
1.00 Sealy
2.00 Super Fisher
1.00 Sealy
1.00 Cold
3.00 Hot
1.00 Cold
(1) Temperature
2.00 Warm
3.00 Hot
.71686
.71686
2.00 Warm
2.00 Warm
3.00 Hot
1.00 Cold
3.00 Hot
1.00 Cold
2.00 Warm
Based on estimated marginal means
*. The mean difference is significant at the
b. Adjustment for multiple comparisons: Bonferroni.
Mean
Difference (1-
D
.000
2.220E-016
-4.000
4.000
-1.500
1.500
Mean
Difference (1-
J)
Simple Effect Analysis for Temperature for each level of Detergent (SPSS):
Pairwise Comparisons
-4.000
-5.500
4.000
-1.500
5.500
1.500
Sig.
-8.000
-7.000*
.000
.000
8.000
1.000
7.000
-1.000
.000
1.000
.000
1.000
Std. Error
1.014
Sig.
1.000
1.014 1.000
1.014
1.014
1.014
1.014
Std. Error
1.014
1.014
Lower Bound
-7.8919
-8.1419
4.1081
1.014
1.014
1.014
1.014
1.014
1.014
1.014
1.014
1.014
1.014
.001
.001
.156
156
Sig.b
.003
.000
.003
.469
95% Confidence Interval
.000
.469
.000
.000
.000
1.000
-2.1419
4.3581
-1.6419
.000
1.000
Upper Bound
-4.1081
-4.3581
7.8919
1.6419
8.1419
2.1419
95% Confidence Interval for
Difference
Lower Bound
-2.130
-2.130
-6.130
1.870
-3.630
-.630
95% Confidence Interval for
Difference
Lower Bound
-6.676
-8.176
1.324
-4.176
2.824
Upper Bound
2.130
2.130
-1.870
6.130
.630
3.630
-1.176
-10.676
-9.676
5.324
-1.676
4.324
-3.676
Upper Bound
-1.324
-2.824
6.676
1.176
8.176
4.176
-5.324
-4.324
10.676
3.676
9.676
1.676
Transcribed Image Text:Tukey's HSD (SPSS): Dependent Variable: DirtRemoved Bonferroni (1) Temperature 1.00 Cold 2.00 Warm 3.00 Hot Dependent Variable: DirtRemoved (1) Temperature 2.00 Warm 3.00 Hot 1.00 Cold 3.00 Hot 1.00 Cold 2.00 Warm Based on observed means. The error term is Mean Square (Error) = 2.056. The mean difference is significant at the Temperature (1) Detergent 1.00 Cold 1.00 Sealy 2.00 Warm 3.00 Hot 2.00 Super Fisher 1.00 Sealy 1.00 Sealy 2.00 Super Fisher 1.00 Sealy 2.00 Super Fisher Based on estimated marginal means *. The mean difference is significant at the b. Adjustment for multiple comparisons: Bonferroni. Dependent Variable: DirtRemoved Detergent 1.00 Sealy 2.00 Super Fisher (0) Temperature 1.00 Cold Simple Effect Analysis for Detergent for each level of Temperature (SPSS): Pairwise Comparisons 2.00 Warm 3.00 Hot Multiple Comparisons Mean Difference (1- J) 1.00 Cold 2.00 Warm Std. Error -6.0000 .71686 -6.2500* .71686 6.0000 .71686 -.2500 .71686 6.2500 .2500 3.00 Hot (1) Detergent 2.00 Super Fisher 2.00 Super Fisher 1.00 Sealy 2.00 Super Fisher 1.00 Sealy 1.00 Cold 3.00 Hot 1.00 Cold (1) Temperature 2.00 Warm 3.00 Hot .71686 .71686 2.00 Warm 2.00 Warm 3.00 Hot 1.00 Cold 3.00 Hot 1.00 Cold 2.00 Warm Based on estimated marginal means *. The mean difference is significant at the b. Adjustment for multiple comparisons: Bonferroni. Mean Difference (1- D .000 2.220E-016 -4.000 4.000 -1.500 1.500 Mean Difference (1- J) Simple Effect Analysis for Temperature for each level of Detergent (SPSS): Pairwise Comparisons -4.000 -5.500 4.000 -1.500 5.500 1.500 Sig. -8.000 -7.000* .000 .000 8.000 1.000 7.000 -1.000 .000 1.000 .000 1.000 Std. Error 1.014 Sig. 1.000 1.014 1.000 1.014 1.014 1.014 1.014 Std. Error 1.014 1.014 Lower Bound -7.8919 -8.1419 4.1081 1.014 1.014 1.014 1.014 1.014 1.014 1.014 1.014 1.014 1.014 .001 .001 .156 156 Sig.b .003 .000 .003 .469 95% Confidence Interval .000 .469 .000 .000 .000 1.000 -2.1419 4.3581 -1.6419 .000 1.000 Upper Bound -4.1081 -4.3581 7.8919 1.6419 8.1419 2.1419 95% Confidence Interval for Difference Lower Bound -2.130 -2.130 -6.130 1.870 -3.630 -.630 95% Confidence Interval for Difference Lower Bound -6.676 -8.176 1.324 -4.176 2.824 Upper Bound 2.130 2.130 -1.870 6.130 .630 3.630 -1.176 -10.676 -9.676 5.324 -1.676 4.324 -3.676 Upper Bound -1.324 -2.824 6.676 1.176 8.176 4.176 -5.324 -4.324 10.676 3.676 9.676 1.676
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