The SAS System 15:38 Saturday, March 16, 2013 1 Obs i x x 1 11 10 10 The SAS System 15:38 Saturday, March 16, 2013 2 Obs i x 1 11 10 The SAS System 15:38 Saturday, March 16, 2013 3 The CONTENTS Procedure Data Set Name WORK.TEST Observations 1 Member Type DATA Variables 2 Engine V9 Indexes 0 Created Saturday, March 16, 2013 03:39:01 PM Observation Length 16 Last Modified Saturday, March 16, 2013 03:39:01 PM Deleted Observations 0 Protection Compressed NO Data Set Type Sorted NO Label Data Representation WINDOWS_32 Encoding wlatin1 Western (Windows) Engine/Host Dependent Information Data Set Page Size 4096 Number of Data Set Pages 1 First Data Page 1 Max Obs per Page 252 Obs in First Data Page 1 Number of Data Set Repairs 0 Filename C:\Users\ellisrp\AppData\Local\Temp\SAS Temporary Files\_TD4216_CAS-270BSR555_\test.sas7bdat Release Created 9.0301M0 Host Created W32_7PRO Alphabetic List of Variables and Attributes # Variable Type Len 1 i Num 8 2 x Num 8 The SAS System 15:38 Saturday, March 16, 2013 4 Obs x01 x02 x03 x04 x05 x06 x07 x08 x09 x10 y1 y2 y3 y4 y5 y6 y7 y8 y9 y10 i n counter 1 10 . . . . . . . . . 10 . . . . . . . . . 1 . 0 2 10 10 . . . . . . . . 10 10 . . . . . . . . 2 . 0 3 10 10 10 . . . . . . . 10 10 10 . . . . . . . 3 . 0 4 10 10 10 10 . . . . . . 10 10 10 10 . . . . . . 4 . 0 5 10 10 10 10 10 . . . . . 10 10 10 10 10 . . . . . 5 . 0 6 10 10 10 10 10 10 . . . . 10 10 10 10 10 10 . . . . 6 . 0 7 10 10 10 10 10 10 10 . . . 10 10 10 10 10 10 10 . . . 7 . 0 8 10 10 10 10 10 10 10 10 . . 10 10 10 10 10 10 10 10 . . 8 . 0 9 10 10 10 10 10 10 10 10 10 . 10 10 10 10 10 10 10 10 10 . 9 . 0 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 . 1 The SAS System 15:38 Saturday, March 16, 2013 5 Obs x01 x02 x03 x04 x05 x06 x07 x08 x09 x10 y1 y2 y3 y4 y5 y6 y7 y8 y9 y10 i n counter 1 10 . . . . . . . . . 10 . . . . . . . . . 1 . 0 2 10 10 . . . . . . . . 10 10 . . . . . . . . 2 . 0 3 10 10 10 . . . . . . . 10 10 10 . . . . . . . 3 . 0 4 10 10 10 10 . . . . . . 10 10 10 10 . . . . . . 4 . 0 5 10 10 10 10 10 . . . . . 10 10 10 10 10 . . . . . 5 . 0 6 10 10 10 10 10 10 . . . . 10 10 10 10 10 10 . . . . 6 . 0 7 10 10 10 10 10 10 10 . . . 10 10 10 10 10 10 10 . . . 7 . 0 8 10 10 10 10 10 10 10 10 . . 10 10 10 10 10 10 10 10 . . 8 . 0 9 10 10 10 10 10 10 10 10 10 . 10 10 10 10 10 10 10 10 10 . 9 . 0 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 . 1 The SAS System 15:38 Saturday, March 16, 2013 6 Obs x01 x02 x03 x04 x05 x06 x07 x08 x09 x10 y1 y2 y3 y4 y5 y6 y7 y8 y9 y10 i n counter 1 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 . 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 The SAS System 15:38 Saturday, March 16, 2013 7 The MEANS Procedure Variable N Mean Std Dev Minimum Maximum ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ x1 1 0 . 0 0 array 1 8.0000000 . 8.0000000 8.0000000 x 1 8.0000000 . 8.0000000 8.0000000 x2 1 8.0000000 . 8.0000000 8.0000000 keep 1 8.0000000 . 8.0000000 8.0000000 drop 1 8.0000000 . 8.0000000 8.0000000 if 1 8.0000000 . 8.0000000 8.0000000 then 1 8.0000000 . 8.0000000 8.0000000 stop 1 8.0000000 . 8.0000000 8.0000000 else 1 8.0000000 . 8.0000000 8.0000000 output 1 8.0000000 . 8.0000000 8.0000000 bad 1 8.0000000 . 8.0000000 8.0000000 length 1 8.0000000 . 8.0000000 8.0000000 z 1 8.0000000 . 8.0000000 8.0000000 ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ The SAS System 15:38 Saturday, March 16, 2013 8 The CONTENTS Procedure Data Set Name WORK.FOUR Observations 0 Member Type DATA Variables 24 Engine V9 Indexes 0 Created Saturday, March 16, 2013 03:39:04 PM Observation Length 192 Last Modified Saturday, March 16, 2013 03:39:04 PM Deleted Observations 0 Protection Compressed CHAR Data Set Type Reuse Space NO Label Point to Observations YES Data Representation WINDOWS_32 Sorted NO Encoding wlatin1 Western (Windows) Engine/Host Dependent Information Data Set Page Size 12288 Number of Data Set Pages 2 Number of Data Set Repairs 0 Filename C:\Users\ellisrp\AppData\Local\Temp\SAS Temporary Files\_TD4216_CAS-270BSR555_\four.sas7bdat Release Created 9.0301M0 Host Created W32_7PRO Alphabetic List of Variables and Attributes # Variable Type Len Label 23 count Num 8 count of records by person i 22 counter Num 8 24 countlast Num 8 count of distinct people indexed by i 3 i Num 8 21 n Num 8 1 x01 Num 8 2 x02 Num 8 4 x03 Num 8 5 x04 Num 8 6 x05 Num 8 7 x06 Num 8 8 x07 Num 8 9 x08 Num 8 10 x09 Num 8 11 y1 Num 8 12 y2 Num 8 13 y3 Num 8 14 y4 Num 8 15 y5 Num 8 16 y6 Num 8 17 y7 Num 8 18 y8 Num 8 19 y9 Num 8 20 y10 Num 8 The SAS System 15:38 Saturday, March 16, 2013 9 The CONTENTS Procedure Data Set Name WORK.FOUR Observations 0 Member Type DATA Variables 24 Engine V9 Indexes 0 Created Saturday, March 16, 2013 03:39:04 PM Observation Length 192 Last Modified Saturday, March 16, 2013 03:39:04 PM Deleted Observations 0 Protection Compressed CHAR Data Set Type Reuse Space NO Label Point to Observations YES Data Representation WINDOWS_32 Sorted NO Encoding wlatin1 Western (Windows) Engine/Host Dependent Information Data Set Page Size 12288 Number of Data Set Pages 2 Number of Data Set Repairs 0 Filename C:\Users\ellisrp\AppData\Local\Temp\SAS Temporary Files\_TD4216_CAS-270BSR555_\four.sas7bdat Release Created 9.0301M0 Host Created W32_7PRO Alphabetic List of Variables and Attributes # Variable Type Len Label 23 count Num 8 count of records by person i 22 counter Num 8 24 countlast Num 8 count of distinct people indexed by i 3 i Num 8 21 n Num 8 1 x01 Num 8 2 x02 Num 8 4 x03 Num 8 5 x04 Num 8 6 x05 Num 8 7 x06 Num 8 8 x07 Num 8 9 x08 Num 8 10 x09 Num 8 11 y1 Num 8 12 y2 Num 8 13 y3 Num 8 14 y4 Num 8 15 y5 Num 8 16 y6 Num 8 17 y7 Num 8 18 y8 Num 8 19 y9 Num 8 20 y10 Num 8 The SAS System 15:38 Saturday, March 16, 2013 10 The REG Procedure Model: MODEL1 Dependent Variable: y Number of Observations Read 100 Number of Observations Used 100 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 1 128.34843 128.34843 124.47 <.0001 Error 98 101.05366 1.03116 Corrected Total 99 229.40210 Root MSE 1.01546 R-Square 0.5595 Dependent Mean -0.12955 Adj R-Sq 0.5550 Coeff Var -783.84410 Parameter Estimates Parameter Standard Variable DF Estimate Error t Value Pr > |t| Intercept 1 0.11507 0.10389 1.11 0.2707 x 1 1.24543 0.11163 11.16 <.0001 proc reg model y = x 15:38 Saturday, March 16, 2013 11 The REG Procedure Model: Y_on_X_Xsq Dependent Variable: y Number of Observations Read 100 Number of Observations Used 100 Analysis of Variance Sum of Mean Source DF Squares Square F Value Pr > F Model 2 128.54439 64.27219 61.81 <.0001 Error 97 100.85771 1.03977 Corrected Total 99 229.40210 Root MSE 1.01969 R-Square 0.5603 Dependent Mean -0.12955 Adj R-Sq 0.5513 Coeff Var -787.10991 Parameter Estimates Parameter Standard Variable DF Estimate Error t Value Pr > |t| Intercept 1 0.14520 0.12529 1.16 0.2493 x 1 1.22217 0.12424 9.84 <.0001 xsq 1 -0.04006 0.09228 -0.43 0.6652 proc reg model y = x 15:38 Saturday, March 16, 2013 12 Obs _MODEL_ _TYPE_ _DEPVAR_ _RMSE_ Intercept x xsq y 1 Y_on_X_Xsq PARMS y 1.01969 0.14520 1.22217 -0.04006 -1 2 Y_on_X_Xsq STDERR y 1.01969 0.12529 0.12424 0.09228 . 3 Y_on_X_Xsq T y 1.01969 1.15889 9.83703 -0.43412 . 4 Y_on_X_Xsq PVALUE y 1.01969 0.24935 0.00000 0.66517 . 5 Y_on_X_Xsq L95B y 1.01969 -0.10347 0.97559 -0.22321 . 6 Y_on_X_Xsq U95B y 1.01969 0.39387 1.46876 0.14309 . GLM using class xint model y = xint 15:38 Saturday, March 16, 2013 13 The GLM Procedure Class Level Information Class Levels Values xint 4 -2 -1 0 1 Number of Observations Read 100 Number of Observations Used 100 GLM using class xint model y = xint 15:38 Saturday, March 16, 2013 14 The GLM Procedure Dependent Variable: y Sum of Source DF Squares Mean Square F Value Pr > F Model 3 106.8849669 35.6283223 27.92 <.0001 Error 96 122.5171304 1.2762201 Corrected Total 99 229.4020973 R-Square Coeff Var Root MSE y Mean 0.465928 -872.0261 1.129699 -0.129549 Source DF Type I SS Mean Square F Value Pr > F xint 3 106.8849669 35.6283223 27.92 <.0001 Source DF Type III SS Mean Square F Value Pr > F xint 3 106.8849669 35.6283223 27.92 <.0001 GLM using class xint model y = xint xsq 15:38 Saturday, March 16, 2013 15 The GLM Procedure Class Level Information Class Levels Values xint 3 -1 0 1 Number of Observations Read 49 Number of Observations Used 49 GLM using class xint model y = xint xsq 15:38 Saturday, March 16, 2013 16 The GLM Procedure Dependent Variable: y Weight: i Sum of Source DF Squares Mean Square F Value Pr > F Model 3 806.130424 268.710141 8.31 0.0002 Error 45 1454.415003 32.320333 Corrected Total 48 2260.545428 R-Square Coeff Var Root MSE y Mean 0.356609 -3312.215 5.685097 -0.171640 Source DF Type I SS Mean Square F Value Pr > F xint 2 806.1199375 403.0599687 12.47 <.0001 xsq 1 0.0104867 0.0104867 0.00 0.9857 Source DF Type III SS Mean Square F Value Pr > F xint 2 712.3992297 356.1996148 11.02 0.0001 xsq 1 0.0104867 0.0104867 0.00 0.9857 Standard Parameter Estimate Error t Value Pr > |t| Intercept 1.116415805 B 0.72744662 1.53 0.1319 xint -1 -2.700414702 B 0.57604532 -4.69 <.0001 xint 0 -1.105555258 B 0.68623605 -1.61 0.1142 xint 1 0.000000000 B . . . xsq 0.006700253 0.37197210 0.02 0.9857 NOTE: The X'X matrix has been found to be singular, and a generalized inverse was used to solve the normal equations. Terms whose estimates are followed by the letter 'B' are not uniquely estimable. GENMOD using class xint model y = xint 15:38 Saturday, March 16, 2013 17 The GENMOD Procedure Model Information Data Set WORK.FIVE Distribution Normal Link Function Identity Dependent Variable y Frequency Weight Variable i Number of Observations Read 100 Number of Observations Used 100 Sum of Frequencies Read 5050 Sum of Frequencies Used 5050 Class Level Information Class Levels Values xint 4 -2 -1 0 1 Criteria For Assessing Goodness Of Fit Criterion DF Value Value/DF Deviance 5046 5959.7847 1.1811 Scaled Deviance 5046 5050.0000 1.0008 Pearson Chi-Square 5046 5959.7847 1.1811 Scaled Pearson X2 5046 5050.0000 1.0008 Log Likelihood -7583.8960 Full Log Likelihood -7583.8960 AIC (smaller is better) 15177.7920 AICC (smaller is better) 15177.8039 BIC (smaller is better) 15210.4277 Algorithm converged. Analysis Of Maximum Likelihood Parameter Estimates Standard Wald 95% Confidence Wald Parameter DF Estimate Error Limits Chi-Square Pr > ChiSq Intercept 1 1.5867 0.0481 1.4925 1.6809 1090.15 <.0001 xint -2 1 -4.8411 0.0980 -5.0331 -4.6491 2442.68 <.0001 xint -1 1 -3.5990 0.0614 -3.7195 -3.4786 3430.76 <.0001 xint 0 1 -1.4506 0.0514 -1.5513 -1.3499 797.07 <.0001 xint 1 0 0.0000 0.0000 0.0000 0.0000 . . Scale 1 1.0863 0.0108 1.0654 1.1077 NOTE: The scale parameter was estimated by maximum likelihood. 15:38 Saturday, March 16, 2013 18 The UNIVARIATE Procedure Variable: x Moments N 100 Sum Weights 100 Mean -0.1964161 Sum Observations -19.641608 Std Deviation 0.9142364 Variance 0.83582819 Skewness -0.2095605 Kurtosis -0.1206311 Uncorrected SS 86.6049181 Corrected SS 82.7469906 Coeff Variation -465.45905 Std Error Mean 0.09142364 Basic Statistical Measures Location Variability Mean -0.19642 Std Deviation 0.91424 Median -0.20406 Variance 0.83583 Mode . Range 4.79959 Interquartile Range 1.28804 Tests for Location: Mu0=0 Test -Statistic- -----p Value------ Student's t t -2.14842 Pr > |t| 0.0341 Sign M -7 Pr >= |M| 0.1933 Signed Rank S -564 Pr >= |S| 0.0520 Quantiles (Definition 5) Quantile Estimate 100% Max 1.892104 99% 1.737467 95% 1.178637 90% 0.975745 75% Q3 0.505712 50% Median -0.204056 25% Q1 -0.782328 10% -1.410609 5% -1.755826 1% -2.464161 0% Min -2.907491 Extreme Observations ------Lowest----- -----Highest----- Value Obs Value Obs -2.90749 82 1.30340 32 -2.02083 80 1.47289 13 -1.95062 77 1.53661 35 -1.83780 76 1.58283 83 -1.75591 97 1.89210 50 15:38 Saturday, March 16, 2013 19 The UNIVARIATE Procedure Variable: xsq Moments N 100 Sum Weights 100 Mean 0.86604918 Sum Observations 86.6049181 Std Deviation 1.23090191 Variance 1.51511951 Skewness 3.12003636 Kurtosis 14.2361579 Uncorrected SS 225.00095 Corrected SS 149.996832 Coeff Variation 142.128408 Std Error Mean 0.12309019 Basic Statistical Measures Location Variability Mean 0.866049 Std Deviation 1.23090 Median 0.408161 Variance 1.51512 Mode . Range 8.45320 Interquartile Range 0.95001 Tests for Location: Mu0=0 Test -Statistic- -----p Value------ Student's t t 7.035891 Pr > |t| <.0001 Sign M 50 Pr >= |M| <.0001 Signed Rank S 2525 Pr >= |S| <.0001 Quantiles (Definition 5) Quantile Estimate 100% Max 8.453504014 99% 6.268630068 95% 3.230368459 90% 2.433267654 75% Q3 1.074123808 50% Median 0.408160664 25% Q1 0.124109110 10% 0.013245150 5% 0.004884620 1% 0.000644242 0% Min 0.000301495 Extreme Observations --------Lowest------- -----Highest----- Value Obs Value Obs 0.000301495 93 3.37753 76 0.000986989 8 3.58006 50 0.001169544 100 3.80493 77 0.001847337 1 4.08376 80 0.004677595 85 8.45350 82 15:38 Saturday, March 16, 2013 20 The UNIVARIATE Procedure Variable: xint Moments N 100 Sum Weights 100 Mean -0.12 Sum Observations -12 Std Deviation 0.59083916 Variance 0.34909091 Skewness -0.5689667 Kurtosis 1.44481422 Uncorrected SS 36 Corrected SS 34.56 Coeff Variation -492.36596 Std Error Mean 0.05908392 Basic Statistical Measures Location Variability Mean -0.12000 Std Deviation 0.59084 Median 0.00000 Variance 0.34909 Mode 0.00000 Range 3.00000 Interquartile Range 0 Tests for Location: Mu0=0 Test -Statistic- -----p Value------ Student's t t -2.03101 Pr > |t| 0.0449 Sign M -5 Pr >= |M| 0.0987 Signed Rank S -87.5 Pr >= |S| 0.0430 Quantiles (Definition 5) Quantile Estimate 100% Max 1.0 99% 1.0 95% 1.0 90% 0.5 75% Q3 0.0 50% Median 0.0 25% Q1 0.0 10% -1.0 5% -1.0 1% -2.0 0% Min -2.0 Extreme Observations ----Lowest---- ----Highest--- Value Obs Value Obs -2 82 1 50 -2 80 1 54 -1 97 1 70 -1 86 1 83 -1 81 1 91 15:38 Saturday, March 16, 2013 21 The UNIVARIATE Procedure Variable: y Moments N 100 Sum Weights 100 Mean -0.1295488 Sum Observations -12.954877 Std Deviation 1.52223287 Variance 2.3171929 Skewness -0.3755013 Kurtosis 0.25623402 Uncorrected SS 231.080386 Corrected SS 229.402097 Coeff Variation -1175.0269 Std Error Mean 0.15222329 Basic Statistical Measures Location Variability Mean -0.12955 Std Deviation 1.52223 Median 0.14982 Variance 2.31719 Mode . Range 8.10526 Interquartile Range 1.93809 Tests for Location: Mu0=0 Test -Statistic- -----p Value------ Student's t t -0.85104 Pr > |t| 0.3968 Sign M 3 Pr >= |M| 0.6173 Signed Rank S -152 Pr >= |S| 0.6037 Quantiles (Definition 5) Quantile Estimate 100% Max 3.339028 99% 3.327153 95% 2.195594 90% 1.633031 75% Q3 0.873861 50% Median 0.149825 25% Q1 -1.064229 10% -2.388366 5% -2.799578 1% -4.078094 0% Min -4.766233 Extreme Observations ------Lowest----- -----Highest----- Value Obs Value Obs -4.76623 76 2.24829 70 -3.38996 82 2.33112 59 -3.30490 56 2.94129 53 -3.11536 80 3.31528 13 -2.91194 27 3.33903 50 15:38 Saturday, March 16, 2013 22 The CORR Procedure 4 Variables: x xsq xint y Simple Statistics Variable N Mean Std Dev Sum Minimum Maximum x 100 -0.19642 0.91424 -19.64161 -2.90749 1.89210 xsq 100 0.86605 1.23090 86.60492 0.0003015 8.45350 xint 100 -0.12000 0.59084 -12.00000 -2.00000 1.00000 y 100 -0.12955 1.52223 -12.95488 -4.76623 3.33903 Pearson Correlation Coefficients, N = 100 Prob > |r| under H0: Rho=0 x xsq xint y x 1.00000 -0.43122 0.85242 0.74799 <.0001 <.0001 <.0001 xsq -0.43122 1.00000 -0.46962 -0.34892 <.0001 <.0001 0.0004 xint 0.85242 -0.46962 1.00000 0.67940 <.0001 <.0001 <.0001 y 0.74799 -0.34892 0.67940 1.00000 <.0001 0.0004 <.0001 15:38 Saturday, March 16, 2013 23 The FREQ Procedure Cumulative Cumulative xint Frequency Percent Frequency Percent ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ -2 2 2.00 2 2.00 -1 18 18.00 20 20.00 0 70 70.00 90 90.00 1 10 10.00 100 100.00 Cumulative Cumulative i10 Frequency Percent Frequency Percent ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ 0 10 10.00 10 10.00 1 10 10.00 20 20.00 2 10 10.00 30 30.00 3 10 10.00 40 40.00 4 10 10.00 50 50.00 5 10 10.00 60 60.00 6 10 10.00 70 70.00 7 10 10.00 80 80.00 8 10 10.00 90 90.00 9 10 10.00 100 100.00 Table of xint by i10 xint i10 Frequency‚ Percent ‚ Row Pct ‚ Col Pct ‚ 0‚ 1‚ 2‚ 3‚ 4‚ 5‚ 6‚ 7‚ 8‚ 9‚ Total ƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆ -2 ‚ 0 ‚ 0 ‚ 0 ‚ 0 ‚ 0 ‚ 0 ‚ 0 ‚ 1 ‚ 1 ‚ 0 ‚ 2 ‚ 0.00 ‚ 0.00 ‚ 0.00 ‚ 0.00 ‚ 0.00 ‚ 0.00 ‚ 0.00 ‚ 1.00 ‚ 1.00 ‚ 0.00 ‚ 2.00 ‚ 0.00 ‚ 0.00 ‚ 0.00 ‚ 0.00 ‚ 0.00 ‚ 0.00 ‚ 0.00 ‚ 50.00 ‚ 50.00 ‚ 0.00 ‚ ‚ 0.00 ‚ 0.00 ‚ 0.00 ‚ 0.00 ‚ 0.00 ‚ 0.00 ‚ 0.00 ‚ 10.00 ‚ 10.00 ‚ 0.00 ‚ ƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆ -1 ‚ 2 ‚ 3 ‚ 3 ‚ 1 ‚ 2 ‚ 1 ‚ 0 ‚ 3 ‚ 2 ‚ 1 ‚ 18 ‚ 2.00 ‚ 3.00 ‚ 3.00 ‚ 1.00 ‚ 2.00 ‚ 1.00 ‚ 0.00 ‚ 3.00 ‚ 2.00 ‚ 1.00 ‚ 18.00 ‚ 11.11 ‚ 16.67 ‚ 16.67 ‚ 5.56 ‚ 11.11 ‚ 5.56 ‚ 0.00 ‚ 16.67 ‚ 11.11 ‚ 5.56 ‚ ‚ 20.00 ‚ 30.00 ‚ 30.00 ‚ 10.00 ‚ 20.00 ‚ 10.00 ‚ 0.00 ‚ 30.00 ‚ 20.00 ‚ 10.00 ‚ ƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆ 0 ‚ 8 ‚ 6 ‚ 7 ‚ 6 ‚ 6 ‚ 8 ‚ 9 ‚ 6 ‚ 6 ‚ 8 ‚ 70 ‚ 8.00 ‚ 6.00 ‚ 7.00 ‚ 6.00 ‚ 6.00 ‚ 8.00 ‚ 9.00 ‚ 6.00 ‚ 6.00 ‚ 8.00 ‚ 70.00 ‚ 11.43 ‚ 8.57 ‚ 10.00 ‚ 8.57 ‚ 8.57 ‚ 11.43 ‚ 12.86 ‚ 8.57 ‚ 8.57 ‚ 11.43 ‚ ‚ 80.00 ‚ 60.00 ‚ 70.00 ‚ 60.00 ‚ 60.00 ‚ 80.00 ‚ 90.00 ‚ 60.00 ‚ 60.00 ‚ 80.00 ‚ ƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆ 1 ‚ 0 ‚ 1 ‚ 0 ‚ 3 ‚ 2 ‚ 1 ‚ 1 ‚ 0 ‚ 1 ‚ 1 ‚ 10 ‚ 0.00 ‚ 1.00 ‚ 0.00 ‚ 3.00 ‚ 2.00 ‚ 1.00 ‚ 1.00 ‚ 0.00 ‚ 1.00 ‚ 1.00 ‚ 10.00 ‚ 0.00 ‚ 10.00 ‚ 0.00 ‚ 30.00 ‚ 20.00 ‚ 10.00 ‚ 10.00 ‚ 0.00 ‚ 10.00 ‚ 10.00 ‚ ‚ 0.00 ‚ 10.00 ‚ 0.00 ‚ 30.00 ‚ 20.00 ‚ 10.00 ‚ 10.00 ‚ 0.00 ‚ 10.00 ‚ 10.00 ‚ ƒƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆƒƒƒƒƒƒƒƒˆ Total 10 10 10 10 10 10 10 10 10 10 100 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.00 10.00 100.00 15:38 Saturday, March 16, 2013 24 Obs xint i10 _TYPE_ _FREQ_ mnx mny stdx stdy 1 . . 0 100 -0.19642 -0.12955 0.91424 1.52223 2 . 0 1 10 -0.17609 0.35278 0.81585 0.87115 3 . 1 1 10 -0.27770 -0.54813 0.89196 1.74764 4 . 2 1 10 -0.45599 -0.46525 0.68780 1.50671 5 . 3 1 10 0.19738 0.25124 1.01477 1.30229 6 . 4 1 10 0.11807 0.09505 0.99960 1.66514 7 . 5 1 10 -0.13792 0.09547 0.88354 1.82639 8 . 6 1 10 0.18710 0.33689 0.57170 1.32460 9 . 7 1 10 -0.67689 -0.92379 1.04186 1.98490 10 . 8 1 10 -0.56758 -1.05165 1.19134 1.42089 11 . 9 1 10 -0.17453 0.56189 0.82246 0.78596 12 -2 . 2 2 -2.46416 -3.25266 0.62696 0.19417 13 -1 . 2 18 -1.39670 -1.81078 0.31155 1.15295 14 0 . 2 70 -0.03596 0.13859 0.53270 1.12960 15 1 . 2 10 1.29442 1.64435 0.31244 1.14683 16 -2 7 3 1 -2.02083 -3.11536 . . 17 -2 8 3 1 -2.90749 -3.38996 . . 18 -1 0 3 2 -1.48240 -0.86206 0.05486 0.18763 19 -1 1 3 3 -1.17974 -1.90600 0.17851 1.18686 20 -1 2 3 3 -1.25290 -1.25101 0.37828 0.88933 21 -1 3 3 1 -1.75574 -2.66055 . . 22 -1 4 3 2 -1.18690 -1.19567 0.12908 0.38596 23 -1 5 3 1 -1.66032 -3.30490 . . 24 -1 7 3 3 -1.66266 -2.81768 0.40502 1.79276 25 -1 8 3 2 -1.17205 -1.93837 0.07642 0.90963 26 -1 9 3 1 -1.75591 -0.71232 . . 27 0 0 3 8 0.15049 0.65649 0.49591 0.66605 28 0 1 3 6 -0.11844 -0.51309 0.53644 0.91720 29 0 2 3 7 -0.11446 -0.12849 0.45639 1.64336 30 0 3 3 6 -0.02527 0.30589 0.53422 0.74612 31 0 4 3 6 0.10868 -0.10263 0.57037 1.44509 32 0 5 3 8 -0.09660 0.48139 0.68390 1.56613 33 0 6 3 9 0.09499 0.12452 0.52180 1.21097 34 0 7 3 6 0.03998 0.38842 0.57207 0.79190 35 0 8 3 6 -0.33451 -0.71385 0.56773 1.02675 36 0 9 3 8 -0.12806 0.52354 0.54861 0.45113 37 1 1 3 1 1.47289 3.31528 . . 38 1 3 3 3 1.29371 1.11255 0.24789 0.93761 39 1 4 3 2 1.45118 1.97881 0.62355 1.92363 40 1 5 3 1 1.05388 0.40845 . . 41 1 6 3 1 1.01600 2.24829 . . 42 1 8 3 1 1.58283 1.03327 . . 43 1 9 3 1 1.03507 2.14290 . . proc freq using format to assign label values 15:38 Saturday, March 16, 2013 25 The FREQ Procedure Cumulative Cumulative xint Frequency Percent Frequency Percent ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ invalid 2 2.00 2 2.00 missing 18 18.00 20 20.00 female 70 70.00 90 90.00 male 10 10.00 100 100.00 surveyreg class i10 cluster xint weight weight y=x 15:38 Saturday, March 16, 2013 26 The SURVEYREG Procedure Regression Analysis for Dependent Variable y Data Summary Number of Observations 100 Sum of Weights 5050.0 Weighted Mean of y -0.16831 Weighted Sum of y -849.97085 Design Summary Number of Clusters 4 Fit Statistics R-square 0.5722 Root MSE 1.0246 Denominator DF 3 Class Level Information Class Variable Levels Values i10 10 0 1 2 3 4 5 6 7 8 9 Tests of Model Effects Effect Num DF F Value Pr > F Model 1 149.20 0.0012 Intercept 1 2.20 0.2346 x 1 149.20 0.0012 NOTE: The denominator degrees of freedom for the F tests is 3. Estimated Regression Coefficients Standard Parameter Estimate Error t Value Pr > |t| Intercept 0.12245968 0.08255167 1.48 0.2346 x 1.24517257 0.10194088 12.21 0.0012 NOTE: The denominator degrees of freedom for the t tests is 3.