Part II Use ClassData dataset (see eLearning SPSS Practice Datasets) to complete the following questions (Output is in the attachment in eLearning) Researchers are interested to investigate whether Group, Time, and interaction effect (Time Group) differences on the intensity of physical activity (steps per minute) measured on the right side of the body Running SPSS to perform the propriate test and generate the results (Please see the last page for the Syntax ) 6) Write down the statistical conclusion Overall ANOVA Interaction Main Effect A Main Effect B Main Effect A ANOVA Test Post Hoc Comparisons Paired T tests Main Effect B ANOVA Test Post Hoc Comparisons Paired T tests 8) Write down the practical conclusion (usually associated with your scientific hypothesis Alternative hypothesis) General Linear Model Notes Output Created 13 APR 2020 23 20 20 Comments Input Data Users rs Desktop HPHE 6920 2020 Spring Dataset ClassData sav Active Dataset DataSet1 Filter Weight Split File N of Rows in Working Data File 58 Missing Value Handling Definition of Missing User defined missing values are treated as missing Cases Used Statistics are based on all cases with valid data for all variables in the model Syntax GLM a2r a3r a4r BY group WSFACTOR Time 3 Polynomial METHOD SSTYPE(3) PLOT PROFILE(Time Time group) TYPE LINE ERRORBAR NO MEANREFERENCE NO YAXIS AUTO POSTHOC group(TUKEY) PRINT DESCRIPTIVE ETASQ HOMOGENEITY PLOT PROFILE(group) TYPE BAR ERRORBAR NO MEANREFERENCE NO YAXIS AUTO CRITERIA ALPHA( 05) WSDESIGN Time DESIGN group Resources Processor Time 00 00 00 43 Elapsed Time 00 00 00 00 Within Subjects Factors Measure MEASURE 1 Time Dependent Variable 1 a2r 2 a3r 3 a4r Between Subjects Factors N group 1 00 20 2 00 21 3 00 17 Descriptive Statistics group Mean Std Deviation N low day2 right 1 00 3449 2000 1282 00577 20 2 00 2790 4762 851 86029 21 3 00 4664 6471 1662 27479 17 Total 3566 9483 1471 20598 58 low day3 right 1 00 2324 9500 1369 62721 20 2 00 2506 5238 627 83100 21 3 00 4088 7647 1187 85718 17 Total 2907 6724 1324 44282 58 low day4 right 1 00 2743 9500 806 97150 20 2 00 2821 4286 1237 47806 21 3 00 3932 2941 1332 13179 17 Total 3120 3103 1237 64332 58 Box's Test of Equality of Covariance Matrices a Box's M 34 539 F 2 647 df1 12 df2 13518 022 Sig 002 Tests the null hypothesis that the observed covariance matrices of the dependent variables are equal across groups a a Design Intercept group Within Subjects Design Time Multivariate Tests a Effect Value F Hypothesis df Error df Sig Partial Eta Squared Time Pillai's Trace 461 23 084 b 2 000 54 000 000 461 Wilks' Lambda 539 23 084 b 2 000 54 000 000 461 Hotelling's Trace 855 23 084 b 2 000 54 000 000 461 Roy's Largest Root 855 23 084 b 2 000 54 000 000 461 Time group Pillai's Trace 239 3 724 4 000 110 000 007 119 Wilks' Lambda 769 3 782 b 4 000 108 000 006 123 Hotelling's Trace 290 3 837 4 000 106 000 006 126 Roy's Largest Root 248 6 833 c 2 000 55 000 002 199 a Design Intercept group Within Subjects Design Time b Exact statistic c The statistic is an upper bound on F that yields a lower bound on the significance level Mauchly's Test of Sphericity a Measure MEASURE 1 Within Subjects Effect Mauchly's W Approx Chi Square df Sig Epsilon b Greenhouse Geisser Huynh Feldt Lower bound Time 601 27 504 2 000 715 755 500 Tests the null hypothesis that the error covariance matrix of the orthonormalized transformed dependent variables is proportional to an identity matrix a a Design Intercept group Within Subjects Design Time b May be used to adjust the degrees of freedom for the averaged tests of significance Corrected tests are displayed in the Tests of Within Subjects Effects table Tests of Within Subjects Effects Measure MEASURE 1 Source Type III Sum of Squares df Mean Square F Sig Partial Eta Squared Time Sphericity Assumed 13314125 377 2 6657062 689 10 501 000 160 Greenhouse Geisser 13314125 377 1 429 9313936 732 10 501 000 160 Huynh Feldt 13314125 377 1 510 8815274 109 10 501 000 160 Lower bound 13314125 377 1 000 13314125 377 10 501 002 160 Time group Sphericity Assumed 6101069 761 4 1525267 440 2 406 054 080 Greenhouse Geisser 6101069 761 2 859 2134010 915 2 406 076 080 Huynh Feldt 6101069 761 3 021 2019757 242 2 406 073 080 Lower bound 6101069 761 2 000 3050534 880 2 406 100 080 Error(Time) Sphericity Assumed 69734561 699 110 633950 561 Greenhouse Geisser 69734561 699 78 622 886964 070 Huynh Feldt 69734561 699 83 069 839476 542 Lower bound 69734561 699 55 000 1267901 122 Tests of Within Subjects Contrasts Measure MEASURE 1 Source Time Type III Sum of Squares df Mean Square F Sig Partial Eta Squared Time Linear 6323936 348 1 6323936 348 6 454 014 105 Quadratic 6990189 029 1 6990189 029 24 266 000 306 Time group Linear 3757654 406 2 1878827 203 1 917 157 065 Quadratic 2343415 355 2 1171707 677 4 068 023 129 Error(Time) Linear 53891071 292 55 979837 660 Quadratic 15843490 407 55 288063 462 Levene's Test of Equality of Error Variances a Levene Statistic df1 df2 Sig low day2 right Based on Mean 3 043 2 55 056 Based on Median 2 925 2 55 062 Based on Median and with adjusted df 2 925 2 47 370 063 Based on trimmed mean 3 025 2 55 057 low day3 right Based on Mean 1 697 2 55 193 Based on Median 1 238 2 55 298 Based on Median and with adjusted df 1 238 2 36 082 302 Based on trimmed mean 1 358 2 55 266 low day4 right Based on Mean 1 847 2 55 167 Based on Median 1 417 2 55 251 Based on Median and with adjusted df 1 417 2 47 305 253 Based on trimmed mean 1 860 2 55 165 Tests the null hypothesis that the error variance of the dependent variable is equal across groups a a Design Intercept group Within Subjects Design Time Tests of Between Subjects Effects Measure MEASURE 1 Transformed Variable Average Source Type III Sum of Squares df Mean Square F Sig Partial Eta Squared Intercept 1831968103 315 1 1831968103 315 638 880 000 921 group 77123889 084 2 38561944 542 13 448 000 328 Error 157710817 491 55 2867469 409 Post Hoc Tests group Multiple Comparisons Measure MEASURE 1 Tukey HSD (I) group (J) group Mean Difference (I J) Std Error Sig 95 Confidence Interval Lower Bound Upper Bound 1 00 2 00 133 2238 305 46120 901 602 5562 869 0038 3 00 1389 2020 322 51519 000 2166 0608 612 3431 2 00 1 00 133 2238 305 46120 901 869 0038 602 5562 3 00 1522 4258 318 96752 000 2290 7391 754 1124 3 00 1 00 1389 2020 322 51519 000 612 3431 2166 0608 2 00 1522 4258 318 96752 000 754 1124 2290 7391 Based on observed means The error term is Mean Square(Error) 955823 136 The mean difference is significant at the Homogeneous Subsets MEASURE 1 Tukey HSD a,b,c group N Subset 1 2 2 00 21 2706 1429 1 00 20 2839 3667 3 00 17 4228 5686 Sig 907 1 000 Means for groups in homogeneous subsets are displayed Based on observed means The error term is Mean Square(Error) 955823 136 a Uses Harmonic Mean Sample Size 19 176 b The group sizes are unequal The harmonic mean of the group sizes is used Type I error levels are not guaranteed c Alpha Profile Plots T TEST PAIRS a2r a2r a3l WITH a3l a4r a4r (PAIRED) CRITERIA CI( 9500) MISSING ANALYSIS T Test Notes Output Created 13 APR 2020 23 20 20 Comments Input Data Users rs Desktop HPHE 6920 2020 Spring Dataset ClassData sav Active Dataset DataSet1 Filter Weight Split File N of Rows in Working Data File 58 Missing Value Handling Definition of Missing User defined missing values are treated as missing Cases Used Statistics for each analysis are based on the cases with no missing or out of range data for any variable in the analysis Syntax T TEST PAIRS a2r a2r a3l WITH a3l a4r a4r (PAIRED) CRITERIA CI( 9500) MISSING ANALYSIS Resources Processor Time 00 00 00 00 Elapsed Time 00 00 00 00 Paired Samples Statistics Mean N Std Deviation Std Error Mean Pair 1 low day2 right 3566 9483 58 1471 20598 193 17881 low day3 left 3009 5517 58 1391 12743 182 66398 Pair 2 low day2 right 3566 9483 58 1471 20598 193 17881 low day4 right 3120 3103 58 1237 64332 162 51053 Pair 3 low day3 left 3009 5517 58 1391 12743 182 66398 low day4 right 3120 3103 58 1237 64332 162 51053 Paired Samples Correlations N Correlation Sig Pair 1 low day2 right low day3 left 58 769 000 Pair 2 low day2 right low day4 right 58 460 000 Pair 3 low day3 left low day4 right 58 644 000 Paired Samples Test Paired Differences t Mean Std Deviation Std Error Mean 95 Confidence Interval of the Difference Lower Upper Pair 1 low day2 right low day3 left 557 39655 976 47407 128 21733 300 64578 814 14732 4 347 Pair 2 low day2 right low day4 right 446 63793 1422 23848 186 74906 72 67938 820 59648 2 392 Pair 3 low day3 left low day4 right 110 75862 1117 30957 146 70993 404 54020 183 02296 755 Paired Samples Test df Sig (2 tailed) Pair 1 low day2 right low day3 left 57 000 Pair 2 low day2 right low day4 right 57 020 Pair 3 low day3 left low day4 right 57 453

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Part II: Use ClassData dataset (see eLearning SPSS Practice Datasets) to complete the following questions. (Output is in the attachment in eLearning) Researchers are interested

Part II: Use ClassData dataset (see eLearning SPSS Practice Datasets) to complete the following questions. (Output is in the attachment in eLearning)

Researchers are interested to investigate whether Group, Time, and interaction effect (Time Group) differences on the intensity of physical activity (steps per minute) measured on the right side of the body.

Running SPSS to perform the propriate test and generate the results. (Please see the last page for the Syntax.)

6) Write down the statistical conclusion

Overall ANOVA:

Interaction
Main Effect A
Main Effect B

Main Effect A

ANOVA Test
Post Hoc Comparisons/Paired T tests

Main Effect B

ANOVA Test
Post Hoc Comparisons/ Paired T tests

8) Write down the practical conclusion (usually associated with your scientific hypothesis/Alternative hypothesis)

General Linear Model

Notes
Output Created	13-APR-2020 23:20:20
Comments
Input	Data	/Users/rs/Desktop/HPHE 6920_2020 Spring/Dataset/ClassData.sav
Active Dataset	DataSet1
Filter
Weight
Split File
N of Rows in Working Data File	58
Missing Value Handling	Definition of Missing	User-defined missing values are treated as missing.
Cases Used	Statistics are based on all cases with valid data for all variables in the model.
Syntax	GLM a2r a3r a4r BY group /WSFACTOR=Time 3 Polynomial /METHOD=SSTYPE(3) /PLOT=PROFILE(Time Time*group) TYPE=LINE ERRORBAR=NO MEANREFERENCE=NO YAXIS=AUTO /POSTHOC=group(TUKEY) /PRINT=DESCRIPTIVE ETASQ HOMOGENEITY /PLOT=PROFILE(group) TYPE=BAR ERRORBAR=NO MEANREFERENCE=NO YAXIS=AUTO /CRITERIA=ALPHA(.05) /WSDESIGN=Time /DESIGN=group.
Resources	Processor Time	00:00:00.43
Elapsed Time	00:00:00.00

Within-Subjects Factors
Measure: MEASURE_1
Time	Dependent Variable
1	a2r
2	a3r
3	a4r

Between-Subjects Factors
	N
group	1.00	20
2.00	21
3.00	17

Descriptive Statistics
	group	Mean	Std. Deviation	N
low day2 right	1.00	3449.2000	1282.00577	20
2.00	2790.4762	851.86029	21
3.00	4664.6471	1662.27479	17
Total	3566.9483	1471.20598	58
low day3 right	1.00	2324.9500	1369.62721	20
2.00	2506.5238	627.83100	21
3.00	4088.7647	1187.85718	17
Total	2907.6724	1324.44282	58
low day4 right	1.00	2743.9500	806.97150	20
2.00	2821.4286	1237.47806	21
3.00	3932.2941	1332.13179	17
Total	3120.3103	1237.64332	58

Box's Test of Equality of Covariance Matrices^a
Box's M	34.539
F	2.647
df1	12
df2	13518.022
Sig.	.002
Tests the null hypothesis that the observed covariance matrices of the dependent variables are equal across groups.^a
a. Design: Intercept + group Within Subjects Design: Time

Multivariate Tests^a
Effect	Value	F	Hypothesis df	Error df	Sig.	Partial Eta Squared
Time	Pillai's Trace	.461	23.084^b	2.000	54.000	.000	.461
Wilks' Lambda	.539	23.084^b	2.000	54.000	.000	.461
Hotelling's Trace	.855	23.084^b	2.000	54.000	.000	.461
Roy's Largest Root	.855	23.084^b	2.000	54.000	.000	.461
Time * group	Pillai's Trace	.239	3.724	4.000	110.000	.007	.119
Wilks' Lambda	.769	3.782^b	4.000	108.000	.006	.123
Hotelling's Trace	.290	3.837	4.000	106.000	.006	.126
Roy's Largest Root	.248	6.833^c	2.000	55.000	.002	.199
a. Design: Intercept + group Within Subjects Design: Time
b. Exact statistic
c. The statistic is an upper bound on F that yields a lower bound on the significance level.

Mauchly's Test of Sphericity^a
Measure: MEASURE_1
Within Subjects Effect	Mauchly's W	Approx. Chi-Square	df	Sig.	Epsilon^b
Greenhouse-Geisser	Huynh-Feldt	Lower-bound
Time	.601	27.504	2	.000	.715	.755	.500
Tests the null hypothesis that the error covariance matrix of the orthonormalized transformed dependent variables is proportional to an identity matrix.^a
a. Design: Intercept + group Within Subjects Design: Time
b. May be used to adjust the degrees of freedom for the averaged tests of significance. Corrected tests are displayed in the Tests of Within-Subjects Effects table.

Tests of Within-Subjects Effects
Measure: MEASURE_1
Source	Type III Sum of Squares	df	Mean Square	F	Sig.	Partial Eta Squared
Time	Sphericity Assumed	13314125.377	2	6657062.689	10.501	.000	.160
Greenhouse-Geisser	13314125.377	1.429	9313936.732	10.501	.000	.160
Huynh-Feldt	13314125.377	1.510	8815274.109	10.501	.000	.160
Lower-bound	13314125.377	1.000	13314125.377	10.501	.002	.160
Time * group	Sphericity Assumed	6101069.761	4	1525267.440	2.406	.054	.080
Greenhouse-Geisser	6101069.761	2.859	2134010.915	2.406	.076	.080
Huynh-Feldt	6101069.761	3.021	2019757.242	2.406	.073	.080
Lower-bound	6101069.761	2.000	3050534.880	2.406	.100	.080
Error(Time)	Sphericity Assumed	69734561.699	110	633950.561
Greenhouse-Geisser	69734561.699	78.622	886964.070
Huynh-Feldt	69734561.699	83.069	839476.542
Lower-bound	69734561.699	55.000	1267901.122

Tests of Within-Subjects Contrasts
Measure: MEASURE_1
Source	Time	Type III Sum of Squares	df	Mean Square	F	Sig.	Partial Eta Squared
Time	Linear	6323936.348	1	6323936.348	6.454	.014	.105
Quadratic	6990189.029	1	6990189.029	24.266	.000	.306
Time * group	Linear	3757654.406	2	1878827.203	1.917	.157	.065
Quadratic	2343415.355	2	1171707.677	4.068	.023	.129
Error(Time)	Linear	53891071.292	55	979837.660
Quadratic	15843490.407	55	288063.462

Levene's Test of Equality of Error Variances^a
	Levene Statistic	df1	df2	Sig.
low day2 right	Based on Mean	3.043	2	55	.056
Based on Median	2.925	2	55	.062
Based on Median and with adjusted df	2.925	2	47.370	.063
Based on trimmed mean	3.025	2	55	.057
low day3 right	Based on Mean	1.697	2	55	.193
Based on Median	1.238	2	55	.298
Based on Median and with adjusted df	1.238	2	36.082	.302
Based on trimmed mean	1.358	2	55	.266
low day4 right	Based on Mean	1.847	2	55	.167
Based on Median	1.417	2	55	.251
Based on Median and with adjusted df	1.417	2	47.305	.253
Based on trimmed mean	1.860	2	55	.165
Tests the null hypothesis that the error variance of the dependent variable is equal across groups.^a
a. Design: Intercept + group Within Subjects Design: Time

Tests of Between-Subjects Effects
Measure: MEASURE_1
Transformed Variable: Average
Source	Type III Sum of Squares	df	Mean Square	F	Sig.	Partial Eta Squared
Intercept	1831968103.315	1	1831968103.315	638.880	.000	.921
group	77123889.084	2	38561944.542	13.448	.000	.328
Error	157710817.491	55	2867469.409

Post Hoc Tests

group

Multiple Comparisons
Measure: MEASURE_1
Tukey HSD
(I) group	(J) group	Mean Difference (I-J)	Std. Error	Sig.	95% Confidence Interval
Lower Bound	Upper Bound
1.00	2.00	133.2238	305.46120	.901	-602.5562	869.0038
3.00	-1389.2020^*	322.51519	.000	-2166.0608	-612.3431
2.00	1.00	-133.2238	305.46120	.901	-869.0038	602.5562
3.00	-1522.4258^*	318.96752	.000	-2290.7391	-754.1124
3.00	1.00	1389.2020^*	322.51519	.000	612.3431	2166.0608
2.00	1522.4258^*	318.96752	.000	754.1124	2290.7391
Based on observed means. The error term is Mean Square(Error) = 955823.136.
*. The mean difference is significant at the

Homogeneous Subsets

MEASURE_1
Tukey HSD^a,b,c
group	N	Subset
1	2
2.00	21	2706.1429
1.00	20	2839.3667
3.00	17		4228.5686
Sig.		.907	1.000
Means for groups in homogeneous subsets are displayed. Based on observed means. The error term is Mean Square(Error) = 955823.136.
a. Uses Harmonic Mean Sample Size = 19.176.
b. The group sizes are unequal. The harmonic mean of the group sizes is used. Type I error levels are not guaranteed.
c. Alpha =

Profile Plots

T-TEST PAIRS=a2r a2r a3l WITH a3l a4r a4r (PAIRED)

/CRITERIA=CI(.9500)

/MISSING=ANALYSIS.

T-Test

Notes
Output Created	13-APR-2020 23:20:20
Comments
Input	Data	/Users/rs/Desktop/HPHE 6920_2020 Spring/Dataset/ClassData.sav
Active Dataset	DataSet1
Filter
Weight
Split File
N of Rows in Working Data File	58
Missing Value Handling	Definition of Missing	User defined missing values are treated as missing.
Cases Used	Statistics for each analysis are based on the cases with no missing or out-of-range data for any variable in the analysis.
Syntax	T-TEST PAIRS=a2r a2r a3l WITH a3l a4r a4r (PAIRED) /CRITERIA=CI(.9500) /MISSING=ANALYSIS.
Resources	Processor Time	00:00:00.00
Elapsed Time	00:00:00.00

Paired Samples Statistics
	Mean	N	Std. Deviation	Std. Error Mean
Pair 1	low day2 right	3566.9483	58	1471.20598	193.17881
low day3 left	3009.5517	58	1391.12743	182.66398
Pair 2	low day2 right	3566.9483	58	1471.20598	193.17881
low day4 right	3120.3103	58	1237.64332	162.51053
Pair 3	low day3 left	3009.5517	58	1391.12743	182.66398
low day4 right	3120.3103	58	1237.64332	162.51053

Paired Samples Correlations
	N	Correlation	Sig.
Pair 1	low day2 right & low day3 left	58	.769	.000
Pair 2	low day2 right & low day4 right	58	.460	.000
Pair 3	low day3 left & low day4 right	58	.644	.000

Paired Samples Test
	Paired Differences	t
Mean	Std. Deviation	Std. Error Mean	95% Confidence Interval of the Difference
Lower	Upper
Pair 1	low day2 right - low day3 left	557.39655	976.47407	128.21733	300.64578	814.14732	4.347
Pair 2	low day2 right - low day4 right	446.63793	1422.23848	186.74906	72.67938	820.59648	2.392
Pair 3	low day3 left - low day4 right	-110.75862	1117.30957	146.70993	-404.54020	183.02296	-.755

Paired Samples Test
	df	Sig. (2-tailed)


Pair 1	low day2 right - low day3 left	57	.000
Pair 2	low day2 right - low day4 right	57	.020
Pair 3	low day3 left - low day4 right	57	.453