GET
  FILE='C:\Classes\00 Data Sets\ELECTRICBILL.sav'.

UNIANOVA
  Bill  BY Season
  /METHOD = SSTYPE(3)
  /INTERCEPT = INCLUDE
  /SAVE = RESID
  /print = descriptives
  /POSTHOC = Season ( BONFERRONI )
  /CRITERIA = ALPHA(.05)
  /DESIGN = Season .

Univariate Analysis of Variance

Notes
Output Created 27-MAR-2008 23:34:21
Comments
Input Data C:\Classes\00 Data Sets\ELECTRICBILL.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 120
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 UNIANOVA
Bill BY Season
/METHOD = SSTYPE(3)
/INTERCEPT = INCLUDE
/SAVE = RESID
/print = descriptives
/POSTHOC = Season ( BONFERRONI )
/CRITERIA = ALPHA(.05)
/DESIGN = Season .
Resources Elapsed Time 0:00:00.03
Variables Created or Modified RES_1 Residual for Bill

Between-Subjects Factors


N
Season 1.00 29
2.00 30
3.00 30
4.00 30

Descriptive Statistics
Dependent Variable: Bill
Season Mean Std. Deviation N
1.00 144.0566 56.04007 29
2.00 116.4640 51.96993 30
3.00 72.3170 27.22898 30
4.00 71.0520 22.85175 30
Total 100.6103 51.70074 119

Tests of Between-Subjects Effects
Dependent Variable: Bill
Source Type III Sum of Squares df Mean Square F Sig.
Corrected Model 112506.039(a) 3 37502.013 21.255 .000
Intercept 1212993.931 1 1212993.931 687.489 .000
Season 112506.039 3 37502.013 21.255 .000
Error 202904.011 115 1764.383

Total 1519980.378 119


Corrected Total 315410.049 118


a R Squared = .357 (Adjusted R Squared = .340)

Post Hoc Tests

Season

Multiple Comparisons
Dependent Variable: Bill
Bonferroni
(I) Season (J) Season Mean Difference (I-J) Std. Error Sig. 95% Confidence Interval
Lower Bound Upper Bound
1.00 2.00 27.5926 10.93863 .078 -1.7740 56.9591
3.00 71.7396(*) 10.93863 .000 42.3730 101.1061
4.00 73.0046(*) 10.93863 .000 43.6380 102.3711
2.00 1.00 -27.5926 10.93863 .078 -56.9591 1.7740
3.00 44.1470(*) 10.84553 .001 15.0304 73.2636
4.00 45.4120(*) 10.84553 .000 16.2954 74.5286
3.00 1.00 -71.7396(*) 10.93863 .000 -101.1061 -42.3730
2.00 -44.1470(*) 10.84553 .001 -73.2636 -15.0304
4.00 1.2650 10.84553 1.000 -27.8516 30.3816
4.00 1.00 -73.0046(*) 10.93863 .000 -102.3711 -43.6380
2.00 -45.4120(*) 10.84553 .000 -74.5286 -16.2954
3.00 -1.2650 10.84553 1.000 -30.3816 27.8516
Based on observed means.
* The mean difference is significant at the .05 level.

PPLOT
  /VARIABLES=RES_1
  /NOLOG
  /NOSTANDARDIZE
  /TYPE=Q-Q
  /FRACTION=BLOM
  /TIES=MEAN
  /DIST=NORMAL.

PPlot

Notes
Output Created 27-MAR-2008 23:34:22
Comments
Input Data C:\Classes\00 Data Sets\ELECTRICBILL.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 120
Date <none>
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used For a given sequence or time series variable, cases with missing values are not used in the analysis. Cases with negative or zero values are also not used, if the log transform is requested.
Syntax PPLOT
/VARIABLES=RES_1
/NOLOG
/NOSTANDARDIZE
/TYPE=Q-Q
/FRACTION=BLOM
/TIES=MEAN
/DIST=NORMAL.
Resources Elapsed Time 0:00:00.73
Use From First observation
To Last observation
Time Series Settings (TSET) Amount of Output PRINT = DEFAULT
Saving New Variables NEWVAR = CURRENT
Maximum Number of Lags in Autocorrelation or Partial Autocorrelation Plots MXAUTO = 16
Maximum Number of Lags Per Cross-Correlation Plots MXCROSS = 7
Maximum Number of New Variables Generated Per Procedure MXNEWVAR = 60
Maximum Number of New Cases Per Procedure MXPREDICT = 1000
Treatment of User-Missing Values MISSING = EXCLUDE
Confidence Interval Percentage Value CIN = 95
Tolerance for Entering Variables in Regression Equations TOLER = .0001
Maximum Iterative Parameter Change CNVERGE = .001
Method of Calculating Std. Errors for Autocorrelations ACFSE = IND
Length of Seasonal Period Unspecified
Variable Whose Values Label Observations in Plots Unspecified
Equations Include CONSTANT

Model Description
Model Name MOD_1
Series or Sequence 1 Residual for Bill
Transformation None
Non-Seasonal Differencing 0
Seasonal Differencing 0
Length of Seasonal Period No periodicity
Standardization Not applied
Distribution Type Normal
Location estimated
Scale estimated
Fractional Rank Estimation Method Blom's
Rank Assigned to Ties Mean rank of tied values
Applying the model specifications from MOD_1

Case Processing Summary


Residual for Bill
Series or Sequence Length 120
Number of Missing Values in the Plot User-Missing 0
System-Missing 1
The cases are unweighted.

Estimated Distribution Parameters


Residual for Bill
Normal Distribution Location .0000
Scale 41.46716
The cases are unweighted.

Residual for Bill

Normal Q-Q Plot of Residual for Bill

Detrended Normal Q-Q Plot of Residual for Bill 

GRAPH
  /HISTOGRAM(NORMAL)=Bill .

Graph

Notes
Output Created 27-MAR-2008 23:34:22
Comments
Input Data C:\Classes\00 Data Sets\ELECTRICBILL.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 120
Syntax GRAPH
/HISTOGRAM(NORMAL)=Bill .
Resources Elapsed Time 0:00:00.25

Histogram of Bill 

NPAR TESTS
  /K-W=Bill   BY Season(1 4)
  /MISSING ANALYSIS.

NPar Tests

Notes
Output Created 27-MAR-2008 23:34:23
Comments
Input Data C:\Classes\00 Data Sets\ELECTRICBILL.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 120
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics for each test are based on all cases with valid data for the variable(s) used in that test.
Syntax NPAR TESTS
/K-W=Bill BY Season(1 4)
/MISSING ANALYSIS.
Resources Elapsed Time 0:00:00.06
Number of Cases Allowed(a) 74898
a Based on availability of workspace memory.

Kruskal-Wallis Test

Ranks

Season N Mean Rank
Bill 1.00 29 87.34
2.00 30 72.93
3.00 30 42.82
4.00 30 37.82
Total 119

Test Statistics(a,b)

Bill
Chi-Square 42.289
df 3
Asymp. Sig. .000
a Kruskal Wallis Test
b Grouping Variable: Season

NPAR TESTS
  /M-W= Bill   BY Season(1 2)
  /MISSING ANALYSIS.

NPar Tests

Notes
Output Created 27-MAR-2008 23:34:23
Comments
Input Data C:\Classes\00 Data Sets\ELECTRICBILL.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 120
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics for each test are based on all cases with valid data for the variable(s) used in that test.
Syntax NPAR TESTS
/M-W= Bill BY Season(1 2)
/MISSING ANALYSIS.
Resources Elapsed Time 0:00:00.00
Number of Cases Allowed(a) 74898
a Based on availability of workspace memory.

Mann-Whitney Test

Ranks

Season N Mean Rank Sum of Ranks
Bill 1.00 29 34.07 988.00
2.00 30 26.07 782.00
Total 59


Test Statistics(a)

Bill
Mann-Whitney U 317.000
Wilcoxon W 782.000
Z -1.789
Asymp. Sig. (2-tailed) .074
a Grouping Variable: Season

NPAR TESTS
  /M-W= Bill   BY Season(1 3)
  /MISSING ANALYSIS.

NPar Tests

Notes
Output Created 27-MAR-2008 23:34:23
Comments
Input Data C:\Classes\00 Data Sets\ELECTRICBILL.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 120
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics for each test are based on all cases with valid data for the variable(s) used in that test.
Syntax NPAR TESTS
/M-W= Bill BY Season(1 3)
/MISSING ANALYSIS.
Resources Elapsed Time 0:00:00.02
Number of Cases Allowed(a) 74898
a Based on availability of workspace memory.

Mann-Whitney Test

Ranks

Season N Mean Rank Sum of Ranks
Bill 1.00 29 41.41 1201.00
3.00 30 18.97 569.00
Total 59


Test Statistics(a)

Bill
Mann-Whitney U 104.000
Wilcoxon W 569.000
Z -5.019
Asymp. Sig. (2-tailed) .000
a Grouping Variable: Season

NPAR TESTS
  /M-W= Bill   BY Season(1 4)
  /MISSING ANALYSIS.

NPar Tests

Notes
Output Created 27-MAR-2008 23:34:23
Comments
Input Data C:\Classes\00 Data Sets\ELECTRICBILL.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 120
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics for each test are based on all cases with valid data for the variable(s) used in that test.
Syntax NPAR TESTS
/M-W= Bill BY Season(1 4)
/MISSING ANALYSIS.
Resources Elapsed Time 0:00:00.00
Number of Cases Allowed(a) 74898
a Based on availability of workspace memory.

Mann-Whitney Test

Ranks

Season N Mean Rank Sum of Ranks
Bill 1.00 29 41.86 1214.00
4.00 30 18.53 556.00
Total 59


Test Statistics(a)

Bill
Mann-Whitney U 91.000
Wilcoxon W 556.000
Z -5.216
Asymp. Sig. (2-tailed) .000
a Grouping Variable: Season

NPAR TESTS
  /M-W= Bill   BY Season(2 3)
  /MISSING ANALYSIS.

NPar Tests

Notes
Output Created 27-MAR-2008 23:34:23
Comments
Input Data C:\Classes\00 Data Sets\ELECTRICBILL.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 120
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics for each test are based on all cases with valid data for the variable(s) used in that test.
Syntax NPAR TESTS
/M-W= Bill BY Season(2 3)
/MISSING ANALYSIS.
Resources Elapsed Time 0:00:00.00
Number of Cases Allowed(a) 74898
a Based on availability of workspace memory.

Mann-Whitney Test

Ranks

Season N Mean Rank Sum of Ranks
Bill 2.00 30 38.73 1162.00
3.00 30 22.27 668.00
Total 60


Test Statistics(a)

Bill
Mann-Whitney U 203.000
Wilcoxon W 668.000
Z -3.652
Asymp. Sig. (2-tailed) .000
a Grouping Variable: Season

NPAR TESTS
  /M-W= Bill   BY Season(2 4)
  /MISSING ANALYSIS.

NPar Tests

Notes
Output Created 27-MAR-2008 23:34:23
Comments
Input Data C:\Classes\00 Data Sets\ELECTRICBILL.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 120
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics for each test are based on all cases with valid data for the variable(s) used in that test.
Syntax NPAR TESTS
/M-W= Bill BY Season(2 4)
/MISSING ANALYSIS.
Resources Elapsed Time 0:00:00.00
Number of Cases Allowed(a) 74898
a Based on availability of workspace memory.

Mann-Whitney Test

Ranks

Season N Mean Rank Sum of Ranks
Bill 2.00 30 39.13 1174.00
4.00 30 21.87 656.00
Total 60


Test Statistics(a)

Bill
Mann-Whitney U 191.000
Wilcoxon W 656.000
Z -3.829
Asymp. Sig. (2-tailed) .000
a Grouping Variable: Season

NPAR TESTS
  /M-W= Bill   BY Season(3 4)
  /MISSING ANALYSIS.

NPar Tests

Notes
Output Created 27-MAR-2008 23:34:23
Comments
Input Data C:\Classes\00 Data Sets\ELECTRICBILL.sav
Filter <none>
Weight <none>
Split File <none>
N of Rows in Working Data File 120
Missing Value Handling Definition of Missing User-defined missing values are treated as missing.
Cases Used Statistics for each test are based on all cases with valid data for the variable(s) used in that test.
Syntax NPAR TESTS
/M-W= Bill BY Season(3 4)
/MISSING ANALYSIS.
Resources Elapsed Time 0:00:00.02
Number of Cases Allowed(a) 74898
a Based on availability of workspace memory.

Mann-Whitney Test

Ranks

Season N Mean Rank Sum of Ranks
Bill 3.00 30 32.58 977.50
4.00 30 28.42 852.50
Total 60


Test Statistics(a)

Bill
Mann-Whitney U 387.500
Wilcoxon W 852.500
Z -.924
Asymp. Sig. (2-tailed) .355
a Grouping Variable: Season