21.1.2 spss 21.1.3 spss 21.1.4 21.1.5 21.2 21.2 analysis.pdf · 12/6/2006 3:18 pm 2...
TRANSCRIPT
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..............................................................................................................................2 21.1 ..............................................................................................................2
21.1.1 ...................................................................................................................2 21.1.2 SPSS .......................................................................3 21.1.3 SPSS .......................................................8 21.1.4 () ................................................................9 21.1.5 () .......................................................... 11
21.2 Multiple Regression Analysis ...................................................................18 21.2.1 .................................................................................................................18
21.3 () Path Diagram Analysis.........................................................................33 21.5 ............................................................................................................45 21.6 Logistic Regression Analyses ..........................................................................45
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Regression Analysis
21.1 21.1.1 ()(scale variable)()
X1 Y1
Y() = b0 + b1X() Durbin-Watson
DW =
=
=
n
ii
n
iii
E
EE
1
2
2
21)(
Where, Ei = Yi - iY , i = 1, 2, 3, , n
Yi = i
iY = E(Yi)
DW DW 2 DW 0 DW 4
()
1. ()() 02 N(0,2)
2.
3. ()
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21.1.2 SPSS 1.Analyze/Statistics() Regression() Linear()
Linear Regression() Linear Regression
Dependent: #[cost_in] Previous Block 1 of 1 Next Independent(s): #[qua]
Method: Enter Selection Variable: Rule Case Labels:
# # #[cost_in] # [qua]
WLS>> Statistics Plots Save Options
OK Paste Reset
Cancel Help
2. Linear Regression()()[cost_in] Dependent: ()[qulit_in] Independent(s): ()
3. Method:
Enter()
Stepwise
()
Remove
Backward()
Forward()()
(Best)(Optimum)
4. Statistics Linear Regression: Statistics Regression Coefficients Estimates(
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t t )Confidence intervals( 95%)
5. Linear Regression: Statistics Model fit( R R2 Anova )Descriptives()Collinearity diagnostics[(Variance inflation factor: VIF)(cross-product deviation matrix)(Condition indices)(Tolerance)]
6.Linear Regression: StatisticsResidualsDurbin-Watson( Durbin-Watson )
Linear Regression: Statistics Regression Coefficients Estimates Confidence intervals Covariance matrix
Model fit R squared change Descriptives Part and partial correlations Collinearity diagnostics
Continue Cancel Help
Residuals Durbin-Watson Casewise diagnostics
Outliers outside 3 standard deviations All cases
7. Linear Regression: Statistics Continue Linear Regression
8. Linear Regression Plots Linear Regression: Plots
Linear Regression: Plots
Previous Scatter 1 of 1 Next
Y: *ZRESID
DEPENDNT *ZPRED *ZRESID *DRESID *SRESID *SDRESID X: DEPENDNT
Continue Cancel Help
Standardized Residual Plots Histogram Normal probability plot
Produce all partial plots
9. Linear Regression: Plots (*)
DEPENDNT()
*ZPRED
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*ZRESID
*DRESID(deleted residual)
*ADJPRED(adjusted predicted values)
*SRESIDstudentized
*SDRESIDstudentized
10. Linear Regression: Plots *ZRESID() Y: (Y )DEPENDNT(/) X: (X )
11. Linear Regression: Plots Standardized Residuals Plots()Histogram()Normal probability plot[(P-P)]
12. Linear Regression: Plots Continues Linear Regression
13. Linear Regression OK
14.
Descriptive Statistics Mean Std. Deviation N
2971.43 1978.82 40 180.90 16.45 40
. 0.986 Correlations
Pearson Correlation 1.000 .986 .986 1.000 Sig. (1-tailed) . .000 .000 . N 40 40 40 40
Variables Entered/Removed
Model Variables Entered Variables Removed Method 1 . Enter
a. All requested variables entered. b. Dependent Variable:
.(R2) 0.973() 97.3 %
. Durbin-Watson 0.187 0
Model Summaryb
Change Statistics Model R R Square Adjusted R Square
Std. Error of the
EstimateR Square Change F Change df1 df2
Sig. F Change
Durbin-Watson
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Change Statistics Model R R Square Adjusted R Square
Std. Error of the
EstimateR Square Change F Change df1 df2
Sig. F Change
Durbin-Watson
1 .986a .973 .972 330.83 .973 1357.320 1 38 .000 .187 a. Predictors: (Constant), b. Dependent Variable:
. P (Sig.) 0.000 0.05()()(/)
ANOVAb
Model Sum of Squares df Mean Square F Sig. 1 Regression 148554157.246 1 148554157.246 1357.320 .000a
Residual 4158974.529 38 109446.698 Total 152713131.775 39
a. Predictors: (Constant), b. Dependent Variable:
.Y() = -18497.196 + 118.677*X()
. P (Sig.) 0.000 0.05 0
. Tolerance VIF 1.000 Tolerance VIF The tolerance statistics, which assess the potential impact of multicollinearity among the independent variables on the accuracy of regression coefficients, were all higher than 0.1, thereby indicating that the results were reliable.
Coefficientsa
Unstandardized Coefficients
Standardized Coefficients 95% Confidence Interval for B Collinearity StatisticsModel
B Std. Error Beta t Sig.
Lower Bound Upper Bound Tolerance VIF (Constant) -18497.196 585.067 -31.616 .000 -19681.603 -17312.789 118.677 3.221 .986 36.842 .000 112.156 125.198 1.000 1.000
a. Dependent Variable:
Collinearity Diagnosticsa
Variance Proportions Model Dimension Eigenvalue Condition Index (Constant) 1 1 1.996 1.000 .00 .00 2 4.005E-03 22.325 1.00 1.00
a. Dependent Variable:
.()
Residuals Statistics Minimum Maximum Mean Std. Deviation N
Predicted Value -339.66 5831.53 2971.43 1951.69 40 Residual -425.94 669.66 8.19E-13 326.56 40 Std. Predicted Value -1.697 1.465 .000 1.000 40 Std. Residual -1.287 2.024 .000 .987 40
a. Dependent Variable:
.
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Regression Standardized Residual
2.00
1.75
1.50
1.25
1.00
.75
.50
.25
0.00
-.25
-.50
-.75
-1.00
-1.25
Histogram
Dependent Variable:
Freq
uenc
y
8
6
4
2
0
Std. Dev = .99
Mean = 0.00
N = 40.00
. P-P
Normal P-P Plot of Regression Standardi
Dependent Variable:
Observed Cum Prob
1.00.75.50.250.00
Expe
cted
Cum
Pro
b
1.00
.75
.50
.25
0.00
.
.
97.3%()
.(/)()
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Scatterplot
Dependent Variable:
70006000500040003000200010000
Reg
ress
ion
Stan
dard
ized
Res
idua
l
2.5
2.0
1.5
1.0
.5
0.0
-.5
-1.0
-1.5
21.1.3 SPSS 1. () SPSS Tranform
Compute Compute Variable
2. Compute Variable Target Variable: cost_log Functions: LG10(numexpr) Numeric Expression: (cost_in) Numeric Expression: LG10(cost_in)
3. Compute Variable OK SPSS Data Editor cost_log
Compute Variable Target Variable: Numeric Expression: Cost_log =
Type&Label LG10[cost_in]
+ < > 7 8 9 Functions: - = 4 5 6 * = ~= 1 2 3 / & 0 . ** ~ [] Delete
ARTAN[numexpr] CDFNORM[zvalue] CDF.BERNOULLI[q,p] LG10[numexpr] LN[numexpr]
If
#id #[cost_in] #[quli] #item3 #item4 #item5 #item6 #item10
OK Paste Reset Cancel Help
4. ()() SPSS TranformCompute Compute Variable
5. Compute Variable Target Variable: cost_ns Numeric Expression: (cost_in) cost_in**0.5
6. Compute Variable OK
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SPSS Data Editor cost_ns
21.1.4 ()
Descriptive Statistics Mean Std. Deviation N
3.3336 .3954 40 180.90 16.45 40
. 0.984 Correlations
Pearson Correlation 1.000 .984 .984 1.000 Sig. (1-tailed) . .000 .000 . N 40 40 40 40
.(R2) 0.969() 96.9 %
. Durbin-Watson 0.142 0
Model Summaryb
Change Statistics Model R R Square Adjusted R Square
Std. Error of the
EstimateR Square Change F Change df1 df2
Sig. F Change
Durbin-Watson
1 .984a .969 .968 7.030E-02 .969 1196.057 1 38 .000 .142 a. Predictors: (Constant), b. Dependent Variable:
. P (Sig.) 0.000 0.05()()(/)
ANOVAb
Model Sum of Squares df Mean Square F Sig. 1 Regression 5.911 1 5.911 1196.057 .000a
Residual .188 38 4.942E-03 Total 6.099 39
a. Predictors: (Constant), b. Dependent Variable:
.log(Y)() = -0.949 + 2.367*10-2*X()
. P (Sig.) 0.000 0.05 0
. Tolerance VIF 1.000 Tolerance VIF
Coefficientsa
Unstandardized Coefficients
Standardized Coefficients T Sig.
95% Confidence Interval for B
Collinearity Statistics Model
B Std. Error Beta Lower Bound Upper Bound Tolerance VIF
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Unstandardized Coefficients
Standardized Coefficients T Sig.
95% Confidence Interval for B
Collinearity Statistics Model
B Std. Error Beta Lower Bound Upper Bound Tolerance VIF1 (Constant) -.949 .124 -7.632 .000 -1.200 -.697
2.367E-02 .001 .984 34.584 .000 .022 .025 1.000 1.000
a. Dependent Variable:
Collinearity Diagnosticsa
Variance Proportions Model Dimension Eigenvalue Condition Index (Constant) 1 1 1.996 1.000 .00 .00 2 4.005E-03 22.325 1.00 1.00
a. Dependent Variable:
Residuals Statisticsa
Minimum Maximum Mean Std. Deviation N Predicted Value 2.6732 3.9041 3.3336 .3893 40 Residual -.1546 .1158 6.661E-16 6.939E-02 40 Std. Predicted Value -1.697 1.465 .000 1.000 40 Std. Residual -2.200 1.647 .000 .987 40
a. Dependent Variable: .
Regression Standardized Residual
1.75
1.50
1.25
1.00
.75
.50
.25
0.00
-.25
-.50
-.75
-1.00
-1.25
-1.50
-1.75
-2.00
-2.25
Histogram
Dependent Variable:
Freq
uenc
y
6
5
4
3
2
1
0
Std. Dev = .99
Mean = 0.00
N = 40.00
. P-P
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Normal P-P Plot of Regression Standard
Dependent Variable:
Observed Cum Prob
1.00.75.50.250.00
Expe
cted
Cum
Pro
b
1.00
.75
.50
.25
0.00
Scatterplot
Dependent Variable:
4.03.83.63.43.23.02.82.62.4
Regr
essi
on S
tand
ardi
zed
Resi
dual
2
1
0
-1
-2
-3
. .
21.1.5 () Descriptive Statistics
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Mean Std. Deviation N 50.8487 19.8928 40 180.90 16.45 40
. 0.999 Correlations
Pearson Correlation 1.000 .999
.999 1.000 Sig. (1-tailed) . .000
.000 . N 40 40 40 40
.(R2) 0.997() 99.7 % . Durbin-Watson 1.333 2
Model Summaryb
Change Statistics Model R R Square Adjusted R Square
Std. Error of the
EstimateR Square Change F Change df1 df2
Sig. F Change
Durbin-Watson
1 .999a .997 .997 1.0196 .997 14808.173 1 38 .000 1.333 a. Predictors: (Constant), b. Dependent Variable:
. P (Sig.) 0.000 0.05()()(/)
ANOVAb
Model Sum of Squares df Mean Square F Sig. 1 Regression 15393.787 1 15393.787 14808.173 .000a
Residual 39.503 38 1.040 Total 15433.290 39
a. Predictors: (Constant), b. Dependent Variable:
. Y () = -167.693 + 1.208*X()
. P (Sig.) 0.000 0.05 0
. Tolerance VIF 1.000 Tolerance VIF
Coefficientsa
Unstandardized Coefficients Standardized Coefficients T Sig.
95% Confidence Interval for B
Collinearity Statistics
Model B Std. Error Beta Lower Bound Upper Bound Tolerance VIF1 (Constant) -167.693 1.803 -93.001 .000 -171.343 -164.043 1.208 .010 .999 121.689 .000 1.188 1.228 1.000 1.000
a. Dependent Variable:
Collinearity Diagnosticsa
Variance Proportions Model Dimension Eigenvalue Condition Index (Constant) 1 1 1.996 1.000 .00 .00 2 4.005E-03 22.325 1.00 1.00
a. Dependent Variable:
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Residuals Statisticsa
Minimum Maximum Mean Std. Deviation N Predicted Value 17.1433 79.9635 50.8487 19.8674 40 Residual -2.3619 2.2282 -6.5725E-15 1.0064 40 Std. Predicted Value -1.697 1.465 .000 1.000 40 Std. Residual -2.317 2.185 .000 .987 40 a. Dependent Variable:
.
Regression Standardized Residual
2.001.501.00.500.00-.50-1.00-1.50-2.00-2.50
Histogram
Dependent Variable:
Freq
uenc
y
10
8
6
4
2
0
Std. Dev = .99
Mean = 0.00
N = 40.00
. P-P
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Normal P-P Plot of Regression Standard
Dependent Variable:
Observed Cum Prob
1.00.75.50.250.00
Expe
cted
Cum
Pro
b
1.00
.75
.50
.25
0.00
Scatterplot
Dependent Variable:
908070605040302010
Regr
essi
on S
tand
ardi
zed
Resi
dual
3
2
1
0
-1
-2
-3
. .
21.1.6 () Descriptive Statistics
Mean Std. Deviation N
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Mean Std. Deviation N 12647194.8250 12856899.1387 40 180.90 16.45 40
Correlations
Pearson Correlation 1.000 .923 .923 1.000 Sig. (1-tailed) . .000 .000 . N 40 40 40 40
Model Summaryb
Change Statistics Model R R Square Adjusted R Square
Std. Error of the
EstimateR Square Change F Change df1 df2
Sig. F Change
Durbin-Watson
1 .923a .853 .849 5001691.8871 .853 219.693 1 38 .000 .105
a. Predictors: (Constant), b. Dependent Variable:
ANOVAb
Model Sum of Squares df Mean Square F Sig. 1 Regression 5.496E+15 1 5.496E+15 219.693 .000a
Residual 9.506E+14 38 2.502E+13 Total 6.447E+15 39
a. Predictors: (Constant), b. Dependent Variable:
Coefficients Unstandardized
Coefficients Standardized Coefficients t Sig.
95% Confidence Interval for B
Collinearity Statistics Model
B Std. Error Beta Lower BoundUpper Bound Tolerance VIF1 (Constant) -1.18E+08 8.85E+06 -13.333 .000 -1.36E+08 -1.00E+08 7.22E+05 4.87E+04 .923 14.822 .000 6.23E+05 8.20E+05 1.000 1.000
a. Dependent Variable:
Collinearity Diagnosticsa
Variance Proportions Model Dimension Eigenvalue Condition Index (Constant) 1 1 1.996 1.000 .00 .00 2 4.005E-03 22.325 1.00 1.00
a. Dependent Variable:
Residuals Statisticsa
Minimum Maximum Mean Std. Deviation N Predicted Value -7.49E+06 3.00E+07 1.26E+07 1.19E+07 40 Residual -5.89E+06 1.09E+07 4.66E-10 4.94E+06 40 Std. Predicted Value -1.697 1.465 .000 1.000 40 Std. Residual -1.178 2.182 .000 .987 40
a. Dependent Variable:
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Regression Standardized Residual
2.25
2.00
1.75
1.50
1.25
1.00
.75
.50
.25
0.00
-.25
-.50
-.75
-1.00
-1.25
Histogram
Dependent Variable:
Freq
uenc
y
10
8
6
4
2
0
Std. Dev = .99
Mean = 0.00
N = 40.00
Normal P-P Plot of Regression Standard
Dependent Variable:
Observed Cum Prob
1.00.75.50.250.00
Expe
cted
Cum
Pro
b
1.00
.75
.50
.25
0.00
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Scatterplot
Dependent Variable:
50000000400000003000000020000000100000000-10000000
Regr
essi
on S
tand
ardi
zed
Resi
dual
2.5
2.0
1.5
1.0
.5
0.0
-.5
-1.0
-1.5
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21.2 Multiple Regression Analysis 21.2.1
(multiple regression)
(N )
(/)
A1 A2 A3 An
Y
()(dummy variable)123
(N ) ()A1 A2 A3
An
Y1 Y2
(Logistic regression analysis)()
(N ) ()A1 A2 A3
An
Y1 Y2 Y3 Y4 Ym
()
X1X2 X1 X2 X1=a+bX2 ()
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1.(Tolerance) 1-R2 R2 R2 0 1 0
2.(variance inflation factor; VIF) VIF
3.(Condition index; CI) CI (Dimension) 0(ill condition) 15 30 CI
1.(existence) X1X2X3Xk Y ()
2.(independent) Y
3.(linearity) Y ( X1X2X3Xk ) X1X2X3Xk
4. X1X2X3Xk Y
5. X1X2X3Xk Y
Y = B0+B1X1+B2X2+B3X3++BkXk
B0 Bk
ZY = 1ZX1 + 2ZX2 + 3ZX3 ++ kZXk k
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()0101
Homd1 Homd2 1 0
1 1 0 2 0 1
3 0 0
(loc)
Locd1 Locd2 Locd3 1 0
1 1 0 0 2 0 1 0 3 0 0 1 4 0 0 0
()SPSS
1.(dummy variables) 1 2 010 1 Transform() Recode()Into Different Variables()
2.Analyze/Statistics() Regression() Linear()Linear Regression()
Linear Regression
Dependent: #[cost_in] Previous Block 1 of 1 Next Independent(s):
#[qua]#[day_n] #[p_number]
Method: Enter Selection Variable: Rule Case Labels:
# # #[cost_in] #[qua] #[day_n] #[p_number] #[ex_id]
WLS>> Statistics Plots Save Options
OK Paste Reset
Cancel Help
3.()(cost_nr) Dependent: ()
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4.()(qulit_nr)(day_n)(p_number)(ex_nr)Independent(s): ()
5. Independent(s): () Methods: Enter()
6. Statistics()Linear Regression: Statistics()
Linear Regression: Statistics Regression Coefficients Estimates Confidence intervals Covariance matrix
Model fit R squared change Descriptives Part and partial correlations Collinearity diagnostics
Continue Cancel Help
Residuals Durbin-Watson Casewise diagnostics
Outliers outside 3 standard deviations All cases
7.Linear Regression: Statistics() Regression Coefficients()Estimates()Confidence intervals()
8.Linear Regression: Statistics()Model fit()R squared change()Descriptive()Collinearity diagnostics()
9.Linear Regression: Statistics() Residuals Durbin-Watson( Durbin-Watson )
10.Linear Regression: Statistics() Continue Linear Regression()
11. Linear Regression Plots Linear Regression: Plots
Linear Regression: Plots
Previous Scatter 1 of 1 Next
Y: *ZRESID
DEPENDNT *ZPRED *ZRESID *DRESID *ADJPRED *SRESID *SDRESID
X: DEPENDNT
Continue Cancel Help
Standardized Residual Plots Histogram
Produce all partial plots
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Normal probability plot
12. Linear Regression: Plots (*)
DEPENDNT()
*ZPRED
*ZRESID
*DRESID(deleted residual)
*ADJPRED(adjusted predicted values)
*SRESIDstudentized
*SDRESIDstudentized
13. Linear Regression: Plots *ZRESID() Y: (Y )DEPENDNT(/) X: (X )
14. Linear Regression: Plots Standardized Residuals Plots()Histogram()Normal probability plot[(P-P)]
15. Linear Regression: Plots Continues Linear Regression
16. OK()
17.
Descriptive Statistics Mean Std. Deviation N
154.5152 52.4302 33 15.5606 4.7265 33 1.4545 .5056 33 3.2727 .6261 33 2.2576 .5166 33
Correlations
Pearson Correlation 1.000 .926 .473 .627 .812 .926 1.000 .524 .633 .764 .473 .524 1.000 .090 .770 .627 .633 .090 1.000 .501 .812 .764 .770 .501 1.000
Sig. (1-tailed) . .000 .003 .000 .000 .000 . .001 .000 .000 .003 .001 . .310 .000 .000 .000 .310 . .002 .000 .000 .000 .002 .
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N 33 33 33 33 33 33 33 33 33 33 33 33 33 33 33 33 33 33 33 33 33 33 33 33 33
Variables Entered/Removedb
Model Variables Entered Variables Removed Method
1 , ,
, a. Enter
a. All requested variables entered. b. Dependent Variable:
Model Summaryb
Change Statistics Model R R Square Adjusted R Square
Std. Error of the
EstimateR Square Change
F Change df1 df2
Sig. F Change
Durbin-Watson
1 .956a .914 .901 16.4829 .914 73.945 4 28 .000 2.269 a. Predictors: (Constant), , , , b. Dependent Variable:
ANOVAb
Model Sum of Squares df Mean Square F Sig. 1 Regression 80358.565 4 20089.641 73.945 .000a
Residual 7607.177 28 271.685 Total 87965.742 32
a. Predictors: (Constant), , , , b. Dependent Variable:
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Coefficientsa
Unstandardized Coefficients
Standardized Coefficients t Sig.
95% Confidence Interval for B
Collinearity Statistics Model
B Std. Error Beta Lower BoundUpper Bound Tolerance VIF 1 (Constant) -26.178 17.998 -1.454 .157 -63.046 10.690 8.092 1.077 .729 7.516 .000 5.887 10.298 .328 3.050 -32.228 10.758 -.311 -2.996 .006 -54.265 -10.190 .287 3.486 -6.023 7.077 -.072 -.851 .402 -20.520 8.474 .432 2.313 53.759 12.945 .530 4.153 .000 27.242 80.275 .190 5.268
a. Dependent Variable:
Collinearity Diagnosticsa
Variance Proportions Model Dimension Eigenvalue Condition Index (Constant)
1 1 4.867 1.000 .00 .00 .00 .00 .00 2 7.557E-02 8.025 .05 .00 .23 .05 .00 3 4.024E-02 10.998 .24 .37 .04 .00 .00 4 1.051E-02 21.519 .66 .62 .00 .44 .15 5 6.546E-03 27.268 .06 .01 .72 .50 .85
a. Dependent Variable: Residuals Statisticsa
Minimum Maximum Mean Std. Deviation N Predicted Value 31.8591 248.8520 154.5152 50.1119 33 Residual -36.5432 37.1409 2.670E-14 15.4183 33 Std. Predicted Value -2.448 1.883 .000 1.000 33 Std. Residual -2.217 2.253 .000 .935 33
a. Dependent Variable:
Regression Standardized Residual
2.502.001.501.00.500.00-.50-1.00-1.50-2.00
Histogram
Dependent Variable:
Freq
uenc
y
10
8
6
4
2
0
Std. Dev = .94
Mean = 0.00
N = 33.00
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Normal P-P Plot of Regression Standard
Dependent Variable:
Observed Cum Prob
1.00.75.50.250.00
Expe
cted
Cum
Pro
b
1.00
.75
.50
.25
0.00
Scatterplot
Dependent Variable:
3002001000
Regr
essi
on S
tand
ardi
zed
Resi
dual
3
2
1
0
-1
-2
-3
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()SPSS 1.Analyze/Statistics() Regression() Linear()
Linear Regression()
Linear Regression
Dependent: #[cost_in] Previous Block 1 of 1 Next Independent(s):
#[qua]#[day_n] #[p_number]
Method: Stepwise Selection Variable: Rule Case Labels:
# # #[cost_in] #[qua] #[day_n] #[p_number] #[ex_id]
WLS>> Statistics Plots Save Options
OK Paste Reset
Cancel Help
2.()(cost_nr) Dependent: ()
3.()(qulit_nr)(day_n)(p_number)(ex_nr)Independent(s): ()
4. Independent(s): () Methods: Stepwise()
5. Statistics()Linear Regression: Statistics()
Linear Regression: Statistics Regression Coefficients Estimates Confidence intervals Covariance matrix
Model fit R squared change Descriptives Part and partial correlations Collinearity diagnostics
Continue Cancel Help
Residuals Durbin-Watson Casewise diagnostics
Outliers outside 3 standard deviations All cases
6.Linear Regression: Statistics() Regression Coefficients()Estimates()Confidence intervals()
7.Linear Regression: Statistics()Model
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fit()R squared change()Descriptive()Collinearity diagnostics()
8.Linear Regression: Statistics() Residuals Durbin-Watson( Durbin-Watson )
9.Linear Regression: Statistics() Continue Linear Regression()
10.Linear RegressionPlotsLinear Regression: Plots
Linear Regression: Plots
Previous Scatter 1 of 1 Next
Y: *ZRESID
DEPENDNT *ZPRED *ZRESID *DRESID *ADJPRED *SRESID *SDRESID
X: DEPENDNT
Continue Cancel Help
Standardized Residual Plots Histogram Normal probability plot
Produce all partial plots
11. Linear Regression: Plots (*)
DEPENDNT()
*ZPRED
*ZRESID
*DRESID(deleted residual)
*ADJPRED(adjusted predicted values)
*SRESIDstudentized
*SDRESIDstudentized
12. Linear Regression: Plots *ZRESID() Y: (Y )DEPENDNT(/) X: (X )
13. Linear Regression: Plots Standardized Residuals Plots()Histogram()Normal probability plot[(P-P)]
14. Linear Regression: Plots Continues Linear Regression
15. OK()
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16.
Variables Entered/Removeda
Model Variables Entered Variables Removed Method
1 . Stepwise (Criteria: Probability-of-F-to-enter = .100).
2 . Stepwise (Criteria: Probability-of-F-to-enter = .100).
3 . Stepwise (Criteria: Probability-of-F-to-enter = .100). a. Dependent Variable:
F 0.05 F
0.10 Model Summaryd
Change Statistics Model R R Square
Adjusted R Square
Std. Error of the
EstimateR Square Change F Change df1 df2
Sig. F Change
Durbin-Watson
1 .926a .857 .853 20.1138 .857 186.433 1 31 .000 2 .940b .884 .876 18.4790 .026 6.728 1 30 .015 3 .955c .911 .902 16.4043 .028 9.068 1 29 .005 2.210
a. Predictors: (Constant), b. Predictors: (Constant), , c. Predictors: (Constant), , , d. Dependent Variable:
R(Multiple correlation coefficient) R Square(R2)(Multiple determination coefficient) Adjusted R Square
Adjusted R2 = 1-[(1-R2)1
1
pn
n ]
n p
()R2R2 R2R2R2R2
ANOVAd
Model Sum of Squares df Mean Square F Sig. 1 Regression 75424.261 1 75424.261 186.433 .000a
Residual 12541.482 31 404.564 Total 87965.742 32
2 Regression 77721.555 2 38860.777 113.803 .000b
Residual 10244.188 30 341.473 Total 87965.742 32
3 Regression 80161.786 3 26720.595 99.295 .000c
Residual 7803.956 29 269.102 Total 87965.742 32
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a. Predictors: (Constant), b. Predictors: (Constant), , c. Predictors: (Constant), , , d. Dependent Variable:
Coefficientsa
Unstandardized Coefficients
Standardized Coefficients
95% Confidence Interval for B
Collinearity Statistics Model
B Std. Error Beta t Sig.
Lower Bound Upper Bound Tolerance VIF1 (Constant) -5.318 12.218 -.435 .666 -30.237 19.602 10.272 .752 .926 13.654 .000 8.737 11.806 1.000 1.000
2 (Constant) -29.674 14.635 -2.028 .052 -59.563 .215 8.146 1.072 .734 7.598 .000 5.956 10.335 .416 2.406 25.442 9.809 .251 2.594 .015 5.409 45.474 .416 2.406
3 (Constant) -36.541 13.191 -2.770 .010 -63.519 -9.564 7.691 .964 .693 7.982 .000 5.720 9.662 .405 2.467 49.272 11.766 .485 4.188 .000 25.207 73.336 .228 4.394 -27.403 9.100 -.264 -3.011 .005 -46.015 -8.792 .397 2.518
a. Dependent Variable: B Beta (Tolerance)(
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a. Dependent Variable:
Residuals Statisticsa
Minimum Maximum Mean Std. Deviation N Predicted Value 31.4748 248.7497 154.5152 50.0505 33 Residual -35.3574 37.5252 1.938E-14 15.6165 33 Std. Predicted Value -2.458 1.883 .000 1.000 33 Std. Residual -2.155 2.288 .000 .952 33
a. Dependent Variable:
Regression Standardized Residual
2.502.001.501.00.500.00-.50-1.00-1.50-2.00
Histogram
Dependent Variable:
Freq
uenc
y
12
10
8
6
4
2
0
Std. Dev = .95
Mean = 0.00
N = 33.00
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Normal P-P Plot of Regression Standard
Dependent Variable:
Observed Cum Prob
1.00.75.50.250.00
Expe
cted
Cum
Pro
b
1.00
.75
.50
.25
0.00
Scatterplot
Dependent Variable:
3002001000
Regr
essi
on S
tand
ardi
zed
Resi
dual
3
2
1
0
-1
-2
-3
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R
R2 R2 F F
Beta 0.412 0.170 0.170 60.877 60.877 0.501 SEXDV 0.445 0.198 0.029 36.711 10.587 0.155 0.469 0.220 0.022 27.789 8.173 -0.173 0.486 0.237 0.017 22.853 6.497 0.307 0.505 0.255 0.018 20.128 7.280 -0.210 0.519 0.269 0.014 17.986 5.676 0.176 0.529 0.280 0.010 16.187 4.211 -0.173
13 ()() 0.529 0.280()28.0% 17.0%(sexdv) 2.9%2.2% 22.0% = 0.501 + 0.155SEXDV 0.173 + 0.307 0.210
+ 0.176 0.173
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21.3 () Path Diagram Analysis () -(Enter) (Path diagram)
(Enter) (Structural Equation Models)(Simultaneous Equation Models)()
1.
()()(cause)(/)(effect)
2.( Enter )(residual coefficient)
(standardized regression coefficients) (multiple regression analysis)(Enter) (residual variable path)
= 21 R
Where R2 = 3.
(restrict model)
(Prototype)(Tacq1997) 1.(quantitative)
2.(identified)
3.(recursive)
4.(static)
5.(directly observed)
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(latent variables)(hypothetical constructs)(theoretical concepts)(CSA)(LSA) Jorekog (LISREL)
6.(linear)
7.(additive)
8.(standardized)
9.(multicollinearity)(standard error)
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()(response variable)(/)(multiple regression)
(N )
(/)
[(interval scale)(ratio scale)(nominal scale)(ordinal scale)](dummy variable)123 or
(N ) ()
()(Logistic regression analysis)(Linear probability model, LPM)
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()
(N ) ()
()
X1X2 X1 X2 X1=a+bX2 ()
4.(Tolerance) 1-R2 R2 R2 0 1 0
5.(variance inflation factor; VIF)
VIF
6.(Condition index; CI) CI (Dimension) 0(ill condition) 15 30 CI
6.(existence) X1X2X3Xk Y ()
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7.(independent) Y
8.(linearity) Y ( X1X2X3Xk ) X1X2X3Xk
9. X1X2X3Xk Y
10. X1X2X3Xk Y
Y = B0+B1X1+B2X2+B3X3++BkXk
B0 Bk
ZY = 1ZX1 + 2ZX2 + 3ZX3 ++ kZXk k
()0101
Homd1 Homd2 1 0
1 1 0 2 0 1
3 0 0
(loc)
Locd1 Locd2 Locd3 1 0
1 1 0 0 2 0 1 0 3 0 0 1 4 0 0 0
SPSS
18.(dummy variables) 1 2 010 1 Transform() Recode()Into Different Variables()
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19.Analyze/Statistics() Regression() Linear()Linear Regression()
Linear Regression
Dependent: Previous Block 1 of 1 Next Independent(s):
Method: Enter Selection Variable: Rule
OK Paste Reset
Cancel Help
Case Labels:
# # # # #
WLS>> Statistics Plots Save Options
20.()Dependent: ()
21.()Independent(s): ()
22. Independent(s): () Methods: stepwise()
23. Statistics()Linear Regression: Statistics()
Linear Regression: Statistics Regression Coefficients Estimates Confidence intervals Covariance matrix
Model fit R squared change Descriptives Part and partial correlations Collinearity diagnostics
Continue Cancel Help
Residuals Durbin-Watson Casewise diagnostics
Outliners outside 3 standard deviations All cases
24.Linear Regression: Statistics() Regression Coefficients()Estimates()
25.Linear Regression: Statistics()Model fit()R squared change()Collinearity diagnostics()
26. Continue Linear Regression()
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27. OK()
Variables Entered/Removeda
Model Variables Entered Variables Removed Method
1 . Stepwise (Criteria: Probability-of-F-to-enter = .100).
2 SEXDV . Stepwise (Criteria: Probability-of-F-to-enter = .100).
3 . Stepwise (Criteria: Probability-of-F-to-enter = .100).
4 . Stepwise (Criteria: Probability-of-F-to-enter = .100).
5 . Stepwise (Criteria: Probability-of-F-to-enter = .100).
6 . Stepwise (Criteria: Probability-of-F-to-enter = .100).
7 . Stepwise (Criteria: Probability-of-F-to-enter = .100). a. Dependent Variable:
F 0.05 F0.10
Model Summary Change Statistics
Model R R Square
Adjusted R
Square
Std. Error of
the Estimate
R Square Change
F Change df1 df2
Sig. F Change
1 .412a .170 .167 9.66 .170 60.877 1 298 .000 2 .445b .198 .193 9.51 .029 10.587 1 297 .001 3 .469c .220 .212 9.40 .022 8.173 1 296 .005 4 .486d .237 .226 9.31 .017 6.497 1 295 .011 5 .505e .255 .242 9.21 .018 7.280 1 294 .007 6 .519f .269 .254 9.14 .014 5.676 1 293 .018 7 .529g .280 .262 9.09 .010 4.211 1 292 .041
a. Predictors: (Constant), b. Predictors: (Constant), , SEXDV c. Predictors: (Constant), , SEXDV, d. Predictors: (Constant), , SEXDV, , e. Predictors: (Constant), , SEXDV, , , f. Predictors: (Constant), , SEXDV, , , , g. Predictors: (Constant), , SEXDV, , , , , R(Multiple correlation coefficient) R Square(R2)(Multiple determination coefficient) Adjusted R Square
Adjusted R2 = 1-[(1-R2)1
1
pn
n ]
n p
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()R2R2 R2R2R2R2
ANOVAh
Model Sum of Squares df Mean
Square F Sig.
1 Regression 5680.605 1 5680.605 60.877 .000a Residual 27807.431 298 93.314 Total 33488.037 299
2 Regression 6637.702 2 3318.851 36.711 .000b Residual 26850.334 297 90.405 Total 33488.037 299
3 Regression 7359.181 3 2453.060 27.789 .000c Residual 26128.855 296 88.273 Total 33488.037 299
4 Regression 7922.223 4 1980.556 22.853 .000d Residual 25565.814 295 86.664 Total 33488.037 299
5 Regression 8539.993 5 1707.999 20.128 .000e Residual 24948.044 294 84.857 Total 33488.037 299
6 Regression 9014.136 6 1502.356 17.986 .000f Residual 24473.901 293 83.529 Total 33488.037 299
7 Regression 9362.054 7 1337.436 16.187 .000g Residual 24125.983 292 82.623 Total 33488.037 299
a. Predictors: (Constant), b. Predictors: (Constant), , SEXDV c. Predictors: (Constant), , SEXDV, d. Predictors: (Constant), , SEXDV, , e. Predictors: (Constant), , SEXDV, , , f. Predictors: (Constant), , SEXDV, , , , g. Predictors: (Constant), , SEXDV, , , , , h. Dependent Variable:
Coefficientsa
Unstandardized Coefficients
Standardized Coefficients
Collinearity Statistics Model
B Std. Error Beta t Sig.
Tolerance VIF
1 (Constant) -.668 3.302 -.202 .840 .249 .032 .412 7.802 .000 1.000 1.000
2 (Constant) -3.126 3.337 -.937 .350 .255 .032 .422 8.106 .000 .996 1.004 SEXDV 3.580 1.100 .169 3.254 .001 .996 1.004
3 (Constant) 2.205 3.788 .582 .561
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Unstandardized Coefficients
Standardized Coefficients
Collinearity Statistics Model
B Std. Error Beta t Sig.
Tolerance VIF
.257 .031 .425 8.265 .000 .996 1.004 SEXDV 3.487 1.088 .165 3.206 .001 .996 1.004 -.338 .118 -.147 -2.859 .005 .999 1.001
4 (Constant) -8.612 5.665 -1.520 .130 .316 .038 .521 8.222 .000 .644 1.553 SEXDV 3.247 1.082 .154 3.001 .003 .988 1.012 -.379 .118 -.165 -3.206 .001 .980 1.020 .347 .136 .163 2.549 .011 .634 1.578
5 (Constant) -5.066 5.758 -.880 .380 .288 .039 .476 7.339 .000 .601 1.663 SEXDV 3.359 1.071 .159 3.135 .002 .987 1.014 -.327 .119 -.142 -2.761 .006 .954 1.048 .582 .160 .273 3.629 .000 .446 2.241 -.323 .120 -.199 -2.698 .007 .465 2.150
6 (Constant) -7.265 5.787 -1.256 .210 .227 .047 .376 4.878 .000 .420 2.378 SEXDV 3.194 1.065 .151 2.998 .003 .982 1.018 -.355 .118 -.154 -3.005 .003 .945 1.058 .683 .165 .321 4.147 .000 .417 2.400 -.325 .119 -.200 -2.734 .007 .465 2.150 .318 .133 .179 2.383 .018 .443 2.258
7 (Constant) -5.110 5.850 -.874 .383 .303 .059 .501 5.114 .000 .257 3.893 SEXDV 3.279 1.060 .155 3.093 .002 .981 1.020 -.397 .119 -.173 -3.329 .001 .917 1.090 .653 .164 .307 3.973 .000 .413 2.418 -.342 .118 -.210 -2.883 .004 .463 2.160 .313 .133 .176 2.363 .019 .443 2.259 -.409 .199 -.173 -2.052 .041 .347 2.878
a. Dependent Variable:
B Beta (Tolerance)(
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Collinearity Statistics Model Beta In t Sig. Partial Correlation Tolerance VIF Minimum Tolerance
-.022a -.359 .720 -.021 .719 1.392 .719 -.160a -1.709 .089 -.099 .317 3.157 .317 .063a .840 .402 .049 .496 2.015 .496 .137a 2.014 .045 .116 .594 1.685 .594 -.123a -1.424 .156 -.082 .373 2.683 .373 .102a 1.354 .177 .078 .488 2.048 .488 -.152a -2.910 .004 -.167 .999 1.001 .999 -.076a -1.191 .235 -.069 .680 1.471 .680 SEXDV .169a 3.254 .001 .186 .996 1.004 .996
2 -.088b -1.410 .160 -.082 .691 1.448 .691 -.058b -1.023 .307 -.059 .850 1.177 .850 -.072b -1.246 .214 -.072 .804 1.244 .804 .135b 2.100 .037 .121 .646 1.549 .646 -.046b -.744 .457 -.043 .709 1.410 .709 -.101b -1.074 .284 -.062 .303 3.301 .303 .045b .604 .547 .035 .493 2.027 .492 .109b 1.603 .110 .093 .582 1.718 .582 -.131b -1.540 .125 -.089 .372 2.685 .371 .094b 1.262 .208 .073 .488 2.050 .486 -.147b -2.859 .005 -.164 .999 1.001 .996 -.076b -1.215 .225 -.070 .680 1.471 .678
3 -.053c -.846 .398 -.049 .661 1.514 .661 -.038c -.675 .500 -.039 .836 1.196 .836 -.049c -.838 .403 -.049 .786 1.272 .786
.163c 2.549 .011 .147 .634 1.578 .634 -.015c -.245 .807 -.014 .686 1.457 .686 -.119c -1.278 .202 -.074 .302 3.315 .302 .040c .542 .589 .032 .493 2.028 .491 .159c 2.321 .021 .134 .554 1.806 .554 -.188c -2.201 .029 -.127 .357 2.803 .357 .106c 1.444 .150 .084 .486 2.057 .486 .138c 1.444 .150 .084 .289 3.461 .289
4 -.199d -2.698 .007 -.155 .465 2.150 .446 -.144d -2.265 .024 -.131 .629 1.590 .477 -.140d -2.201 .029 -.127 .635 1.576 .512 -.218d -2.662 .008 -.153 .378 2.645 .349 -.021d -.206 .837 -.012 .245 4.077 .245 .003d .043 .965 .003 .474 2.111 .338 .108d 1.457 .146 .085 .471 2.121 .323 -.160d -1.861 .064 -.108 .349 2.864 .324 .178d 2.340 .020 .135 .443 2.258 .441 .230d 2.340 .020 .135 .263 3.800 .263
5 -.068e -.874 .383 -.051 .419 2.388 .310
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Collinearity Statistics Model Beta In t Sig. Partial Correlation Tolerance VIF Minimum Tolerance
-.051e -.611 .542 -.036 .370 2.706 .271 -.114e -.818 .414 -.048 .131 7.628 .131 -.071e -.689 .492 -.040 .238 4.205 .238 .040e .534 .594 .031 .459 2.180 .306 .121e 1.652 .100 .096 .469 2.130 .306 -.176e -2.073 .039 -.120 .347 2.878 .318 .179e 2.383 .018 .138 .443 2.258 .417 .232e 2.383 .018 .138 .263 3.800 .263
6 -.060f -.772 .441 -.045 .418 2.393 .309 -.046f -.556 .579 -.033 .369 2.708 .271 -.101f -.732 .465 -.043 .131 7.639 .131 -.067f -.651 .516 -.038 .238 4.206 .238 .030f .411 .682 .024 .457 2.187 .258 .124f 1.713 .088 .100 .469 2.131 .248 -.173f -2.052 .041 -.119 .347 2.878 .257 .f . . . .000 . .000 7 -.075g -.968 .334 -.057 .414 2.414 .250 -.065g -.795 .427 -.047 .365 2.742 .253 -.134g -.973 .331 -.057 .129 7.737 .129 -.064g -.625 .532 -.037 .238 4.207 .182 -.014g -.181 .856 -.011 .420 2.382 .152 .073g .900 .369 .053 .377 2.653 .124 .g . . . .000 . .000
a Predictors in the Model: (Constant), b Predictors in the Model: (Constant), , SEXDV c Predictors in the Model: (Constant), , SEXDV, d Predictors in the Model: (Constant), , SEXDV, , e Predictors in the Model: (Constant), , SEXDV, , , f Predictors in the Model: (Constant), , SEXDV, , , , g Predictors in the Model: (Constant), , SEXDV, , , , , h Dependent Variable:
Collinearity Diagnosticsa
Variance Proportions Model Dimension Eigenvalue Condition Index (Constant)
SEXD
V
1 1 1.986 1.000 .01 .01 2 1.437E-02 11.755 .99 .99
2 1 2.609 1.000 .00 .00 .05 2 .377 2.629 .01 .01 .93 3 1.406E-02 13.623 .99 .98 .02
3 1 3.516 1.000 .00 .00 .03 .01 2 .417 2.905 .00 .00 .94 .01 3 5.499E-02 7.996 .03 .15 .01 .86 4 1.271E-02 16.628 .97 .85 .03 .12
4 1 4.424 1.000 .00 .00 .02 .00 .00
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Variance Proportions Model Dimension Eigenvalue Condition Index (Constant)
SEXD
V
2 .426 3.221 .00 .00 .96 .01 .00 3 9.006E-02 7.008 .00 .06 .01 .02 .41 4 5.392E-02 9.057 .01 .06 .01 .95 .02 5 5.954E-03 27.256 .98 .88 .00 .01 .57
5 1 5.327 1.000 .00 .00 .01 .00 .00 .00 2 .435 3.499 .00 .00 .97 .01 .00 .00 3 .149 5.988 .00 .04 .00 .03 .05 .16 4 5.405E-02 9.928 .01 .05 .01 .92 .03 .00 5 3.009E-02 13.305 .00 .02 .00 .03 .67 .79 6 5.734E-03 30.479 .98 .89 .00 .01 .25 .04
6 1 6.238 1.000 .00 .00 .01 .00 .00 .00 .00 2 .443 3.752 .00 .00 .97 .00 .00 .00 .00 3 .207 5.485 .00 .01 .01 .00 .04 .10 .03 4 5.842E-02 10.334 .00 .01 .01 .98 .02 .02 .03 5 3.314E-02 13.719 .01 .00 .00 .00 .47 .80 .06 6 1.409E-02 21.041 .09 .25 .00 .01 .28 .03 .86 7 5.676E-03 33.152 .90 .73 .00 .01 .19 .05 .02
7 1 7.179 1.000 .00 .00 .01 .00 .00 .00 .00 .00 2 .452 3.987 .00 .00 .96 .00 .00 .00 .00 .00 3 .238 5.487 .00 .00 .02 .00 .03 .09 .02 .01 4 6.324E-02 10.655 .00 .00 .01 .89 .03 .02 .00 .02 5 3.351E-02 14.637 .00 .00 .00 .01 .41 .74 .11 .01 6 2.144E-02 18.297 .00 .01 .00 .03 .19 .10 .63 .24 7 7.808E-03 30.321 .56 .09 .00 .06 .28 .01 .17 .49 8 5.100E-03 37.520 .43 .89 .00 .00 .06 .03 .07 .24
a Dependent Variable:
R
R2 R2 F F
Beta 0.412 0.170 0.170 60.877 60.877 0.501 SEXDV 0.445 0.198 0.029 36.711 10.587 0.155 0.469 0.220 0.022 27.789 8.173 -0.173 0.486 0.237 0.017 22.853 6.497 0.307 0.505 0.255 0.018 20.128 7.280 -0.210 0.519 0.269 0.014 17.986 5.676 0.176 0.529 0.280 0.010 16.187 4.211 -0.173
13 ()() 0.529 0.280()28.0% 17.0%(sexdv) 2.9%2.2% 22.0% = 0.501 + 0.155SEXDV 0.173 + 0.307 0.210
+ 0.176 0.173
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21.5 Sulek, J. M. and Hensley, R. L. 2004. The relative importance of food, atmosphere, and fairness of
wait: the case of a full-service restaurant. Cornell Hotel and Restaurant Administration Quarterly, 45(3):235-247.
Chang, C. P. 2006. A multilevel exploration of factors influencing the front-line employees service quality in international tourist hotels. Journal of American Academy of Business, 9(2):285-293.
Mahon, D. and Cowan, C. 2004. Irish consumers perception of food safety risk in minced beef. British Food Journal, 106(4):301-312.
21.6 Logistic Regression Analyses Juric, B., Cornwell, T. B. and Mather, D. 2002. Exploring the usefulness of an ecotourism interest
scale. Journal of Travel Research, 40:259-269. Knight, A. and Warland, R. 2004. The relationship between sociodemographics and concern about
food safety issues. The Journal of Consumer Affairs, 38(1):107-120.