sequential_regression
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데이터
DATA for regression analysis | ||
---|---|---|
bankaccount | income | famnum |
6 | 220 | 5 |
5 | 190 | 6 |
7 | 260 | 3 |
7 | 200 | 4 |
8 | 330 | 2 |
10 | 490 | 4 |
8 | 210 | 3 |
11 | 380 | 2 |
9 | 320 | 1 |
9 | 270 | 3 |
datavar <- read.csv("http://commres.net/wiki/_media/regression01-bankaccount.csv")
Enter
Model Summaryb | |||||||||
Model | R | R Square | Adjusted R Square | Std. Error of the Estimate | Change Statistics | ||||
R Square Change | F Change | df1 | df2 | Sig. F Change | |||||
1 | .893a | .798 | .740 | .930 | .798 | 13.838 | 2 | 7 | .004 |
a. Predictors: (Constant), 가족숫자, 수입 | |||||||||
b. Dependent Variable: 통장갯수 |
ANOVAa | ||||||
Model | Sum of Squares | df | Mean Square | F | Sig. | |
1 | Regression | 23.944 | 2 | 11.972 | 13.838 | .004b |
Residual | 6.056 | 7 | .865 | |||
Total | 30.000 | 9 | ||||
a. Dependent Variable: 통장갯수 | ||||||
b. Predictors: (Constant), 가족숫자, 수입 |
Coefficientsa | |||||||||
Model | Unstandardized Coefficients | Standardized Coefficients | t | Sig. | Correlations | ||||
B | Std. Error | Beta | Zero-order | Partial | Part | ||||
1 | (Constant) | 6.399 | 1.517 | 4.220 | .004 | ||||
수입 | .012 | .004 | .616 | 3.325 | .013 | .794 | .783 | .565 | |
가족숫자 | -.545 | .226 | -.446 | -2.406 | .047 | -.692 | -.673 | -.409 | |
a. Dependent Variable: 통장갯수 |
$\hat{Y} = 6.399 + .012 X_{1} + -.545 X_{2} $
The below is just an exercise for figuring out the unique part of r2 value for x1 and x2 (수입, 가족수). For more information see part and zero-order relationship: see determining_ivs_role in multiple regression
zero-order | part | ||
x1 | x2 | x1p | x2p |
.794 | -.692 | .565 | -.409 |
zero-order square | part (in spss) = semipartial (in general) | ||
x1 sq (x1sq) | x2 sq (x1sq) | x1 part sq (x1psq) | x2 part sq (x1psq) |
.630436 | .478864 | .319225 | .167281 |
a+b / a+b+c+d | b+c / a+b+c+d | a / a+b+c+d | c / a+b+c+d |
x1sq - x1psq ~= x2sq - x2psq
0.311211 ~= 0.311583
Seq.
Model Summaryc | |||||||||
Model | R | R Square | Adjusted R Square | Std. Error of the Estimate | Change Statistics | ||||
R Square Change | F Change | df1 | df2 | Sig. F Change | |||||
1 | .794a | .631 | .585 | 1.176 | .631 | 13.687 | 1 | 8 | .006 |
2 | .893b | .798 | .740 | .930 | .167 | 5.791 | 1 | 7 | .047 |
a. Predictors: (Constant), 수입 | |||||||||
b. Predictors: (Constant), 수입, 가족숫자 | |||||||||
c. Dependent Variable: 통장갯수 |
증가한 r2값에 대한 F-test 결과는 Fdiff=5.791, p = .047 (less than .05)
ANOVAa | ||||||
Model | Sum of Squares | df | Mean Square | F | Sig. | |
1 | Regression | 18.934 | 1 | 18.934 | 13.687 | .006b |
Residual | 11.066 | 8 | 1.383 | |||
Total | 30.000 | 9 | ||||
2 | Regression | 23.944 | 2 | 11.972 | 13.838 | .004c |
Residual | 6.056 | 7 | .865 | |||
Total | 30.000 | 9 | ||||
a. Dependent Variable: 통장갯수 | ||||||
b. Predictors: (Constant), 수입 | ||||||
c. Predictors: (Constant), 수입, 가족숫자 |
Coefficientsa | |||||||||
Model | Unstandardized Coefficients | Standardized Coefficients | t | Sig. | Correlations | ||||
B | Std. Error | Beta | Zero-order | Partial | Part | ||||
1 | (Constant) | 3.618 | 1.242 | 2.914 | .019 | ||||
수입 | .015 | .004 | .794 | 3.700 | .006 | .794 | .794 | .794 | |
2 | (Constant) | 6.399 | 1.517 | 4.220 | .004 | ||||
수입 | .012 | .004 | .616 | 3.325 | .013 | .794 | .783 | .565 | |
가족숫자 | -.545 | .226 | -.446 | -2.406 | .047 | -.692 | -.673 | -.409 | |
a. Dependent Variable: 통장갯수 |
http://imaging.mrc-cbu.cam.ac.uk/statswiki/FAQ/hier
https://ww2.coastal.edu/kingw/statistics/R-tutorials/multregr.html
sequential_regression.1541718909.txt.gz · Last modified: 2018/11/09 08:15 by hkimscil