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...

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12/6/2006 3:18 PM 1 二十一、迴歸分析.............................................................................................................................. 2 21.1 簡單線性迴歸分析.............................................................................................................. 2 21.1.1 研究問題................................................................................................................... 2 21.1.2 簡單線性迴歸分析 SPSS 操作方法 ....................................................................... 3 21.1.3 簡單線性迴歸分析變數轉換 SPSS 操作方法 ....................................................... 8 21.1.4 對數轉換依變數(消費金額)的分析結果 ................................................................ 9 21.1.5 開平方轉換依變數(消費金額)的分析結果 .......................................................... 11 21.2 多元迴歸分析 Multiple Regression Analysis ................................................................... 18 21.2.1 研究問題................................................................................................................. 18 21.3 徑路(路徑)分析 Path Diagram Analysis......................................................................... 33 21.5 迴歸分析研讀報告............................................................................................................ 45 21.6 Logistic Regression Analyses 研讀報告.......................................................................... 45

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  • 12/6/2006 3:18 PM

    1

    ..............................................................................................................................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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    2

    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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    3

    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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    4

    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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    5

    *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()

  • 12/6/2006 3:18 PM

    39

    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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    45

    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.

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