Results: energy.sas

energy usage summary (both house designs)

The UNIVARIATE Procedure

Variable: gas

type = extra

The Univariate Procedure

gas

type = extra

Basic Measures of Location and Variability

Basic Statistical Measures
Location Variability
Mean 13.87143 Std Deviation 2.36364
Median 13.70000 Variance 5.58681
Mode 13.70000 Range 10.50000
    Interquartile Range 2.30000

Tests For Normality

Tests for Normality
Test Statistic p Value
Shapiro-Wilk W 0.93277 Pr < W 0.3335
Kolmogorov-Smirnov D 0.16723 Pr > D >0.1500
Cramer-von Mises W-Sq 0.085422 Pr > W-Sq 0.1649
Anderson-Darling A-Sq 0.507886 Pr > A-Sq 0.1721

Quantiles

Quantiles (Definition 5)
Level Quantile
100% Max 18.8
99% 18.8
95% 18.8
90% 16.0
75% Q3 15.3
50% Median 13.7
25% Q1 13.0
10% 11.7
5% 8.3
1% 8.3
0% Min 8.3

Extreme Values

Extreme Values
Lowest Highest
Order Value Freq Order Value Freq
1 8.3 1 9 14.6 1
2 11.7 1 10 15.3 1
3 12.7 1 11 15.6 1
4 13.0 1 12 16.0 1
5 13.4 1 13 18.8 1

energy usage summary (both house designs)

The UNIVARIATE Procedure

Variable: gas

type = standard

type = standard

Basic Measures of Location and Variability

Basic Statistical Measures
Location Variability
Mean 16.76667 Std Deviation 2.99586
Median 18.00000 Variance 8.97515
Mode 13.90000 Range 10.30000
    Interquartile Range 5.00000

Note: The mode displayed is the smallest of 3 modes with a count of 2.

Tests For Normality

Tests for Normality
Test Statistic p Value
Shapiro-Wilk W 0.927281 Pr < W 0.3522
Kolmogorov-Smirnov D 0.243046 Pr > D 0.0483
Cramer-von Mises W-Sq 0.097949 Pr > W-Sq 0.1076
Anderson-Darling A-Sq 0.514106 Pr > A-Sq 0.1574

Quantiles

Quantiles (Definition 5)
Level Quantile
100% Max 21.70
99% 21.70
95% 21.70
90% 19.00
75% Q3 18.95
50% Median 18.00
25% Q1 13.95
10% 13.90
5% 11.40
1% 11.40
0% Min 11.40

Extreme Values

Extreme Values
Lowest Highest
Order Value Freq Order Value Freq
1 11.4 1 5 18.0 2
2 13.9 2 6 18.1 1
3 14.0 1 7 18.9 1
4 15.3 1 8 19.0 2
5 18.0 2 9 21.7 1

The Ttest Procedure

gas

energy usage summary (both house designs)

The TTEST Procedure

 

Variable: gas

Statistics

type Method N Mean Std Dev Std Err Minimum Maximum
extra   14 13.8714 2.3636 0.6317 8.3000 18.8000
standard   12 16.7667 2.9959 0.8648 11.4000 21.7000
Diff (1-2) Pooled   -2.8952 2.6720 1.0512    
Diff (1-2) Satterthwaite   -2.8952   1.0710    

Confidence Limits

type Method Mean 95% CL Mean
extra   13.8714 12.5067 15.2362
standard   16.7667 14.8632 18.6701
Diff (1-2) Pooled -2.8952 -5.0648 -0.7257
Diff (1-2) Satterthwaite -2.8952 -5.1234 -0.6670

T-Tests

Method Variances DF t Value Pr > |t|
Pooled Equal 24 -2.75 0.0110
Satterthwaite Unequal 20.848 -2.70 0.0134

Equality of Variances

Equality of Variances
Method Num DF Den DF F Value Pr > F
Folded F 11 13 1.61 0.4127

Comparative Histogram

Comparative Histogram and Densities for gas

Comparative Box Plots

Comparative Box Plots for gas

Difference Interval Plot

Difference Interval Plot for gas

Q-Q Plots

Q-Q Plots for gas

energy usage summary (solar house designs)

The UNIVARIATE Procedure

Variable: gas

type = extra

The Univariate Procedure

gas

type = extra

Basic Measures of Location and Variability

Basic Statistical Measures
Location Variability
Mean 14.22727 Std Deviation 2.72253
Median 14.50000 Variance 7.41218
Mode 15.70000 Range 8.50000
    Interquartile Range 4.30000

Tests For Normality

Tests for Normality
Test Statistic p Value
Shapiro-Wilk W 0.956073 Pr < W 0.7219
Kolmogorov-Smirnov D 0.128473 Pr > D >0.1500
Cramer-von Mises W-Sq 0.033874 Pr > W-Sq >0.2500
Anderson-Darling A-Sq 0.227742 Pr > A-Sq >0.2500

Quantiles

Quantiles (Definition 5)
Level Quantile
100% Max 19.0
99% 19.0
95% 19.0
90% 17.6
75% Q3 15.7
50% Median 14.5
25% Q1 11.4
10% 11.3
5% 10.5
1% 10.5
0% Min 10.5

Extreme Values

Extreme Values
Lowest Highest
Order Value Freq Order Value Freq
1 10.5 1 6 14.5 1
2 11.3 1 7 15.2 1
3 11.4 1 8 15.7 2
4 12.6 1 9 17.6 1
5 13.0 1 10 19.0 1

energy usage summary (solar house designs)

The UNIVARIATE Procedure

Variable: gas

type = standard

type = standard

Basic Measures of Location and Variability

Basic Statistical Measures
Location Variability
Mean 16.13750 Std Deviation 2.07906
Median 16.40000 Variance 4.32250
Mode . Range 7.60000
    Interquartile Range 3.35000

Tests For Normality

Tests for Normality
Test Statistic p Value
Shapiro-Wilk W 0.959144 Pr < W 0.6463
Kolmogorov-Smirnov D 0.132841 Pr > D >0.1500
Cramer-von Mises W-Sq 0.054795 Pr > W-Sq >0.2500
Anderson-Darling A-Sq 0.337386 Pr > A-Sq >0.2500

Quantiles

Quantiles (Definition 5)
Level Quantile
100% Max 19.90
99% 19.90
95% 19.90
90% 18.00
75% Q3 17.70
50% Median 16.40
25% Q1 14.35
10% 13.30
5% 12.30
1% 12.30
0% Min 12.30

Extreme Values

Extreme Values
Lowest Highest
Order Value Order Value
1 12.3 12 17.6
2 13.3 13 17.8
3 13.7 14 17.9
4 13.8 15 18.0
5 14.9 16 19.9

The Ttest Procedure

gas

energy usage summary (solar house designs)

The TTEST Procedure

 

Variable: gas

Statistics

type Method N Mean Std Dev Std Err Minimum Maximum
extra   11 14.2273 2.7225 0.8209 10.5000 19.0000
standard   16 16.1375 2.0791 0.5198 12.3000 19.9000
Diff (1-2) Pooled   -1.9102 2.3576 0.9234    
Diff (1-2) Satterthwaite   -1.9102   0.9716    

Confidence Limits

type Method Mean 95% CL Mean
extra   14.2273 12.3983 16.0563
standard   16.1375 15.0296 17.2454
Diff (1-2) Pooled -1.9102 -3.8120 -0.00841
Diff (1-2) Satterthwaite -1.9102 -3.9537 0.1333

T-Tests

Method Variances DF t Value Pr > |t|
Pooled Equal 25 -2.07 0.0491
Satterthwaite Unequal 17.726 -1.97 0.0652

Equality of Variances

Equality of Variances
Method Num DF Den DF F Value Pr > F
Folded F 10 15 1.71 0.3344

Comparative Histogram

Comparative Histogram and Densities for gas

Comparative Box Plots

Comparative Box Plots for gas

Difference Interval Plot

Difference Interval Plot for gas

Q-Q Plots

Q-Q Plots for gas