Results: l07.sas

The REG Procedure

Model: MODEL1

Dependent Variable: dollars

The Reg Procedure

MODEL1

Fit

dollars

Number of Observations

Number of Observations Read 51
Number of Observations Used 51

Analysis of Variance

Analysis of Variance
Source DF Sum of
Squares
Mean
Square
F Value Pr > F
Model 1 68.04075 68.04075 125.10 <.0001
Error 49 26.65089 0.54390    
Corrected Total 50 94.69163      

Fit Statistics

Root MSE 0.73749 R-Square 0.7186
Dependent Mean 5.17549 Adj R-Sq 0.7128
Coeff Var 14.24972    

Parameter Estimates

Parameter Estimates
Variable DF Parameter
Estimate
Standard
Error
t Value Pr > |t|
Intercept 1 -1.62426 0.61666 -2.63 0.0113
pay 1 0.21976 0.01965 11.18 <.0001

The REG Procedure

Model: MODEL1

Dependent Variable: dollars

Observation-wise Statistics

dollars

Diagnostic Plots

Fit Diagnostics

Panel of fit diagnostics for dollars.

Residual Plots

pay

Scatter plot of residuals by pay for dollars.

Fit Plot

Scatterplot of dollars by pay overlaid with the fit line, a 95% confidence band and lower and upper 95% prediction limits.

The REG Procedure

Model: MODEL1

Dependent Variable: ycheck

The Reg Procedure

MODEL1

Fit

ycheck

Number of Observations

Number of Observations Read 51
Number of Observations Used 51

Analysis of Variance

Note:No intercept in model. R-Square is redefined.

Analysis of Variance
Source DF Sum of
Squares
Mean
Square
F Value Pr > F
Model 2 0.83882 0.41941 1963.86 <.0001
Error 49 0.01046 0.00021356    
Uncorrected Total 51 0.84928      

Fit Statistics

Root MSE 0.01461 R-Square 0.9877
Dependent Mean 0.10846 Adj R-Sq 0.9872
Coeff Var 13.47414    

Parameter Estimates

Parameter Estimates
Variable DF Parameter
Estimate
Standard
Error
t Value Pr > |t|
onecheck 1 -1.55783 0.46345 -3.36 0.0015
xcheck 1 0.22501 0.01491 15.09 <.0001

The REG Procedure

Model: MODEL1

Dependent Variable: dollars

The Reg Procedure

MODEL1

Fit

dollars

Number of Observations

Number of Observations Read 51
Number of Observations Used 51

Analysis of Variance

Weight: we

Analysis of Variance
Source DF Sum of
Squares
Mean
Square
F Value Pr > F
Model 1 0.04862 0.04862 227.65 <.0001
Error 49 0.01046 0.00021356    
Corrected Total 50 0.05908      

Fit Statistics

Root MSE 0.01461 R-Square 0.8229
Dependent Mean 5.30954 Adj R-Sq 0.8193
Coeff Var 0.27524    

Parameter Estimates

Parameter Estimates
Variable DF Parameter
Estimate
Standard
Error
t Value Pr > |t|
Intercept 1 -1.55783 0.46345 -3.36 0.0015
pay 1 0.22501 0.01491 15.09 <.0001

The REG Procedure

Model: MODEL1

Dependent Variable: dollars

Observation-wise Statistics

dollars

Diagnostic Plots

Fit Diagnostics

Panel of fit diagnostics for dollars.

Residual Plots

pay

Scatter plot of residuals by pay for dollars.

Fit Plot

Scatterplot of dollars by pay overlaid with the fit line, a 95% confidence band and lower and upper 95% prediction limits.

The TRANSREG Procedure

The Transreg Procedure

BoxCox(Volume)

Box Cox Plot

Box Cox Plot for Volume

Dependent Variable BoxCox(Volume)

Number of Observations

Number of Observations Read 31
Number of Observations Used 31

The TRANSREG Procedure Hypothesis Tests for BoxCox(Volume)

ANOVA

Univariate ANOVA Table Based on the Usual Degrees of Freedom
Source DF Sum of Squares Mean Square F Value Liberal p
The above statistics are not adjusted for the fact that the dependent variable was transformed and so are generally liberal.
Model 2 8.123226 4.061613 613.19 >= <.0001
Error 28 0.185463 0.006624    
Corrected Total 30 8.308690      
Root MSE 0.08139 R-Square 0.9777
Dependent Mean 3.27273 Adj R-Sq 0.9761
Coeff Var 2.48679 Lambda 0.0000

Coefficients

Univariate Regression Table Based on the Usual Degrees of Freedom
Variable DF Coefficient 95% Confidence Limits Type II
Sum of
Squares
Mean Square F Value Liberal p
Intercept 1 -6.6316171 -8.2699121 -4.9933221 0.45539 0.45539 68.75 >= <.0001
Log(Girth) 1 1.9826499 1.8289976 2.1363022 4.62750 4.62750 698.63 >= <.0001
Log(Height) 1 1.1171233 0.6983530 1.5358937 0.19778 0.19778 29.86 >= <.0001

The above statistics are not adjusted for the fact that the dependent variable was transformed and so are generally liberal.


The REG Procedure

Model: MODEL1

Dependent Variable: meaniq

The Reg Procedure

MODEL1

Fit

meaniq

Number of Observations

Number of Observations Read 10
Number of Observations Used 10

Analysis of Variance

Analysis of Variance
Source DF Sum of
Squares
Mean
Square
F Value Pr > F
Model 1 7.82560 7.82560 0.04 0.8427
Error 8 1489.17440 186.14680    
Corrected Total 9 1497.00000      

Fit Statistics

Root MSE 13.64356 R-Square 0.0052
Dependent Mean 101.00000 Adj R-Sq -0.1191
Coeff Var 13.50848    

Parameter Estimates

Parameter Estimates
Variable DF Parameter
Estimate
Standard
Error
t Value Pr > |t|
Intercept 1 109.39165 41.15440 2.66 0.0289
meanvol 1 -0.00745 0.03635 -0.21 0.8427

The Mixed Procedure

The Mixed Procedure

Model Information

Model Information
Data Set WORK.TWINBRAIN
Dependent Variable FIQ
Covariance Structure Variance Components
Estimation Method REML
Residual Variance Method Profile
Fixed Effects SE Method Model-Based
Degrees of Freedom Method Containment

Class Level Information

Class Level Information
Class Levels Values
PAIR 10 1 2 3 4 5 6 7 8 9 10

Dimensions

Dimensions
Covariance Parameters 2
Columns in X 2
Columns in Z 10
Subjects 1
Max Obs per Subject 20

Number of Observations

Number of Observations
Number of Observations Read 20
Number of Observations Used 20
Number of Observations Not Used 0

Iteration History

Iteration History
Iteration Evaluations -2 Res Log Like Criterion
0 1 160.49569850  
1 3 149.20356652 0.00002800
2 1 149.20189906 0.00000004
3 1 149.20189652 0.00000000

Convergence Status

Convergence criteria met.

Covariance Parameter Estimates

Covariance Parameter Estimates
Cov Parm Estimate
PAIR 161.90
Residual 33.4554

Fit Statistics

Fit Statistics
-2 Res Log Likelihood 149.2
AIC (Smaller is Better) 153.2
AICC (Smaller is Better) 154.0
BIC (Smaller is Better) 153.8

Solution for Fixed Effects

Solution for Fixed Effects
Effect Estimate Standard
Error
DF t Value Pr > |t|
Intercept 103.31 32.3610 9 3.19 0.0110
TOTVOL -0.00205 0.02849 9 -0.07 0.9441

Type 3 Tests of Fixed Effects

Type 3 Tests of Fixed Effects
Effect Num DF Den DF F Value Pr > F
TOTVOL 1 9 0.01 0.9441

The Mixed Procedure

The Mixed Procedure

Model Information

Model Information
Data Set WORK.TWINBRAIN
Dependent Variable FIQ
Covariance Structure Variance Components
Estimation Method ML
Residual Variance Method Profile
Fixed Effects SE Method Model-Based
Degrees of Freedom Method Containment

Class Level Information

Class Level Information
Class Levels Values
PAIR 10 1 2 3 4 5 6 7 8 9 10

Dimensions

Dimensions
Covariance Parameters 2
Columns in X 2
Columns in Z 10
Subjects 1
Max Obs per Subject 20

Number of Observations

Number of Observations
Number of Observations Read 20
Number of Observations Used 20
Number of Observations Not Used 0

Iteration History

Iteration History
Iteration Evaluations -2 Log Like Criterion
0 1 158.89265331  
1 2 148.48602433 0.00000000

Convergence Status

Convergence criteria met.

Covariance Parameter Estimates

Covariance Parameter Estimates
Cov Parm Estimate
PAIR 133.12
Residual 32.2676

Fit Statistics

Fit Statistics
-2 Log Likelihood 148.5
AIC (Smaller is Better) 156.5
AICC (Smaller is Better) 159.2
BIC (Smaller is Better) 157.7

Solution for Fixed Effects

Solution for Fixed Effects
Effect Estimate Standard
Error
DF t Value Pr > |t|
Intercept 103.86 30.3059 9 3.43 0.0075
TOTVOL -0.00254 0.02670 9 -0.10 0.9263

Type 3 Tests of Fixed Effects

Type 3 Tests of Fixed Effects
Effect Num DF Den DF F Value Pr > F
TOTVOL 1 9 0.01 0.9263

The Mixed Procedure

The Mixed Procedure

Model Information

Model Information
Data Set WORK.DAUGHTERS
Dependent Variable height
Covariance Structure Variance Components
Estimation Method REML
Residual Variance Method Profile
Fixed Effects SE Method Model-Based
Degrees of Freedom Method Containment

Class Level Information

Class Level Information
Class Levels Values
family 168 "1" "10" "102" "103" "104" "105" "106" "107" "108" "109" "11" "110" "112" "114" "115" "116" "117" "119" "12" "121" "122" "123" "124" "125" "126" "128" "129" "130" "132" "133" "134" "135" "136" "136A" "137" "138" "139" "140" "141" "142" "144" "145" "146" "149" "15" "151" "153" "155" "156" "158" "159" "16" "162" "163" "164" "165" "166" "168" "169" "17" "170" "172" "173" "174" "175" "176" "177" "179" "18" "180" "181" "183" "185" "186" "187" "188" "19" "190" "191" "192" "193" "194" "195" "196" "197" "198" "199" "2" "20" "201" "203" "204" "21" "22" "23" "24" "25" "26" "27" "28" "29" "3" "30" "31" "32" "33" "34" "35" "36" "37" "38" "39" "4" "40" "42" "43" "45" "46" "47" "49" "5" "51" "52" "53" "54" "55" "56" "57" "58" "59" "6" "61" "62" "64" "65" "66" "68" "69" "7" "70" "71" "72" "73" "75" "76" "77" "78" "79" "8" "80" "81" "82" "83" "85" "86" "87" "88" "89" "9" "90" "91" "93" "94" "95" "96" "97" "98" "99"

Dimensions

Dimensions
Covariance Parameters 2
Columns in X 3
Columns in Z 168
Subjects 1
Max Obs per Subject 433

Number of Observations

Number of Observations
Number of Observations Read 433
Number of Observations Used 433
Number of Observations Not Used 0

Iteration History

Iteration History
Iteration Evaluations -2 Res Log Like Criterion
0 1 1834.41192300  
1 3 1813.52567676 0.00000173
2 1 1813.52478470 0.00000000

Convergence Status

Convergence criteria met.

Covariance Parameter Estimates

Covariance Parameter Estimates
Cov Parm Estimate
family 0.8420
Residual 3.1248

Fit Statistics

Fit Statistics
-2 Res Log Likelihood 1813.5
AIC (Smaller is Better) 1817.5
AICC (Smaller is Better) 1817.6
BIC (Smaller is Better) 1823.8

Solution for Fixed Effects

Solution for Fixed Effects
Effect Estimate Standard
Error
DF t Value Pr > |t|
Intercept 17.2283 4.3757 165 3.94 0.0001
mother 0.3045 0.05113 265 5.96 <.0001
father 0.3945 0.04352 265 9.07 <.0001

Type 3 Tests of Fixed Effects

Type 3 Tests of Fixed Effects
Effect Num DF Den DF F Value Pr > F
mother 1 265 35.48 <.0001
father 1 265 82.19 <.0001