Anova Tutorial Mr2 Spss

SPSS

. () (n-) [ () ] () () . , (), . , , .

( 1000 ), . , (sales) (pack) (shelf). , , (price) (temp).

:

( ) . .

, . . ? .

, .

1. :

(1) .

. - , 2:

1

SPSS

(2) .

(3) .

(4) .

(1) . , . (2) . . (3) . , Explore.

Analyze Descriptive Statistics Explore

, . Plots Explore: Plots Histogram Normality plots with test. , Explore . Untransformed .

. - , 2:

2

SPSS

, Continue. , , SPSS . , .. , . , , . Paste. .

32 , BY .

(1)

. - , 2:

3

SPSS

Tests of Normality

,270 5 ,200* ,860 5 ,229,180 5 ,200* ,952 5 ,754,167 5 ,200* ,943 5 ,685,175 5 ,200* ,974 5 ,899,225 5 ,200* ,912 5 ,479,175 5 ,200* ,974 5 ,899

1000

Statistic df Sig. Statistic df Sig.Kolmogorov-Smirnova Shapiro-Wilk

This is a lower bound of the true significance.*.

Lil liefors Significance Correctiona.

, , , :

-, - ( - 0,05, .. !).

(4) . , Explore. .. (boxplots). , .. (IQR), . , - .

(1)

. - , 2:

4

SPSS

- . .

Test of Homogeneity of Variance

,896 5 24 ,499,360 5 24 ,871

,360 5 15,831 ,868

,842 5 24 ,534

Based on MeanBased on MedianBased on Median andwith adjusted dfBased on trimmed mean

1000

LeveneStatistic df1 df2 Sig.

, , , :

( - 0,05, .. !).

2. , :

Analyze General Linear Model Univariate

Univariate, ( ) (

. - , 2:

5

SPSS

, ; , , 1 ; 2 ; 3 ; 4 5 ).

Options, . Univariate: Options.

, Plots Univariate: Plots, , .

. - , 2:

6

SPSS

, ( , ). Separate Lines ( , .. , ). Add. , . Continue. , .

SPSS . , . , 43,40 . , 37,40 .

Descriptive Statistics

Dependent Variable: 1000

43,40 3,647 537,40 2,074 540,40 4,222 1064,40 3,578 555,80 2,387 560,10 5,363 1052,20 4,207 549,80 2,387 551,00 3,464 1053,33 9,589 1547,67 8,209 1550,50 9,232 30

TotalTotalTotalTotal

Total

Mean Std. Deviation N

. , 0,05.

. - , 2:

7

SPSS

Levene's Test of Equa lity of Error Variancesa


,896 5 24 ,499F df1 df2 Sig.

Tests the null hypothes is that the error variance ofthe dependent variable is equal across groups.

Design: Intercept+shelf+pack+shelf * packa.

- SPSS . , , F . R Squared Adjusted R Squared. . , ( ) ( ), .. .. . 90,4 % . SPSS R Squared, - , .

errorpackshelfpackshelf

packshelfpackshelf

SSSSSSSSSSSSSS

totalCorrectedelCorrected

+++

++==

*

*2 mod

. . 88,4 % ! , , , , . 89,1 % .

errorpackshelf

packshelfpackshelf

errorpack

packpack

errorshelf

shelfshelf

SSSSSSSSSS

SSSSSS

SS

+=

+=

+=

*

*2*

2

2

, . F , . . , , .. .

. - , 2:

8

SPSS

, :

(1) ( ).

(2) ( ).

(3) ( ).

Tests of Between-Subjects Effects


2233,500a 5 446,700 45,045 ,000 ,90476507,500 1 76507,500 7715,042 ,000 ,997

1944,200 2 972,100 98,027 ,000 ,891240,833 1 240,833 24,286 ,000 ,503

48,467 2 24,233 2,444 ,108 ,169238,000 24 9,917

78979,000 302471,500 29

SourceCorrected ModelInterceptshelfpackshelf * packErrorTotalCorrected Total

Type III Sumof Squares df Mean Square F Sig.

Partial EtaSquared

R Squared = ,904 (Adjus ted R Squared = ,884)a.

, , , :

( - 0,05). ( - 0,05) . . .

, , . . SPSS . . , .

errorcortotal

errorfpackpack

errorcortotal

errorfshelfshelf

MSSS

MSdSSMSSS

MSdSS

pack

shelf

+

=

+

=

.

.

2

2

. - , 2:

9

SPSS

0 1, - 1 F . , . (1977) 0,15 , 0,06 0,15 0,06 . 2 0.78, , , , 0.09, . 2 , - 1. , 2 . , 2, ( -) . - , 2 0.88 ((2233.5 5.9.917) / (2471.5 + 9.917) = 0.88), .

, , , :

- , , .

, . , , , .. ( - 0,05!). - (-12,4). , , 12,4 . - ( ). , , . . , - .

1 !

. - , 2:

10

SPSS

Parameter Estimates


49,800 1,408 35,362 ,000 46,893 52,707 ,981-12,400 1,992 -6,226 ,000 -16,511 -8,289 ,618

6,000 1,992 3,013 ,006 1,889 10,111 ,2740a . . . . . .

2,400 1,992 1,205 ,240 -1,711 6,511 ,0570a . . . . . .

3,600 2,817 1,278 ,213 -2,213 9,413 ,0640a . . . . . .

6,200 2,817 2,201 ,038 ,387 12,013 ,1680a . . . . . .0a . . . . . .0a . . . . . .

ParameterIntercept[shelf=1][shelf=2][shelf=3][pack=1][pack=2][shelf=1] * [pack=1][shelf=1] * [pack=2][shelf=2] * [pack=1][shelf=2] * [pack=2][shelf=3] * [pack=1][shelf=3] * [pack=2]

B Std. Error t Sig. Lower Bound Upper Bound95% Confidence Interval Partial Eta

Squared

This parameter is set to zero because it is redundant.a.

, .

1.


40,400 ,996 38,345 42,45560,100 ,996 58,045 62,15551,000 ,996 48,945 53,055

Mean Std. Error Lower Bound Upper Bound95% Confidence Interval

2.


53,333 ,813 51,655 55,01147,667 ,813 45,989 49,345


3. *


43,400 1,408 40,493 46,30737,400 1,408 34,493 40,30764,400 1,408 61,493 67,30755,800 1,408 52,893 58,70752,200 1,408 49,293 55,10749,800 1,408 46,893 52,707


- , 2. , ,

2 , Univariate: Plots shelf Horizontal Axis, Add. pack Horizontal Axis Add.

. - , 2:

11

SPSS

. . . , . http://wilderdom.com/statistics/ Interaction.html.

3. . , :

Analyze General Linear Model Univariate Univariat, ( ), ( ) ( ). ( Options), ( Plots).

. - , 2:

12

SPSS

SPSS .

Descriptive Statistics


43,40 3,647 537,40 2,074 540,40 4,222 1064,40 3,578 555,80 2,387 560,10 5,363 1052,20 4,207 549,80 2,387 551,00 3,464 1053,33 9,589 1547,67 8,209 1550,50 9,232 30

TotalTotalTotalTotal

Total

Mean Std. Deviation N

, , , :

(F=1,118; p-value=0,377 > 0,05!).

. - , 2:

13

SPSS

Tests of Between-Subjects Effects


2247,511a 7 321,073 31,536 ,000 ,9098,815 1 8,815 ,866 ,362 ,0385,010 1 5,010 ,492 ,490 ,0224,884 1 4,884 ,480 ,496 ,021

1207,881 2 603,941 59,319 ,000 ,84482,605 1 82,605 8,113 ,009 ,26913,220 2 6,610 ,649 ,532 ,056

223,989 22 10,18178979,000 30

2471,500 29

SourceCorrected ModelInterceptpricetempshelfpackshelf * packErrorTotalCorrected Total

Type III Sumof Squares df Mean Square F Sig.

Partial EtaSquared

R Squared = ,909 (Adjus ted R Squared = ,881)a.

- :

. 0,904 0,909, .. 0,5 % - .

, F=31,536 (p-value=0,000 < 0,05!).

, .. (p-value=0,532 > 0,05).

(p-value=0,009 < 0,05) (p-value=0,000< 0,05) .

, ( - 0,05!). - (-11,036). , , 11,036 . - ( , shelf=3, 0). , , , - (0,502), (0,240). 2 . 0.48 (.. , ), 0.03 ( ). , 2 (2=0.88).

. - , 2:

14

SPSS

Paramete r Estimates


30,048 37,024 ,812 ,426 -46,734 106,831 ,02911,194 15,958 ,701 ,490 -21,901 44,289 ,022

-,244 ,353 -,693 ,496 -,976 ,487 ,021-11,036 2,342 -4,713 ,000 -15,893 -6,180 ,502

7,250 2,753 2,633 ,015 1,540 12,960 ,2400a . . . . . .

5,644 3,917 1,441 ,164 -2,479 13,768 ,0860a . . . . . .

2,940 3,223 ,912 ,372 -3,744 9,625 ,0360a . . . . . .

3,522 4,188 ,841 ,410 -5,165 12,208 ,0310a . . . . . .0a . . . . . .0a . . . . . .

ParameterInterceptpricetemp[shelf=1][shelf=2][shelf=3][pack=1][pack=2][shelf=1] * [pack=1][shelf=1] * [pack=2][shelf=2] * [pack=1][shelf=2] * [pack=2][shelf=3] * [pack=1][shelf=3] * [pack=2]

B Std. Error t Sig. Lower Bound Upper Bound95% Confidence Interval Partial Eta

Squared

This parameter is set to zero because it is redundant.a. 1.


41,119a 1,187 38,657 43,58259,696a 1,084 57,447 61,94450,685a 1,093 48,419 52,951


Covariates appearing in the model are evaluated at the followingvalues: 250 = 2,0293, = 20,07.

a.

2.


54,399a 1,488 51,314 57,48446,601a 1,488 43,516 49,686


Covariates appearing in the model are evaluated at thefol lowing values: 250 = 2,0293, = 20,07.

a.

3. *


45,412a 2,849 39,503 51,32036,827a 2,141 32,387 41,26764,279a 1,436 61,300 67,25755,113a 1,565 51,866 58,35953,507a 1,917 49,532 57,48347,863a 2,527 42,623 53,103


Covariates appearing in the model are evaluated at the following values: 250 = 2,0293, = 20,07.

a.

. , ,

. - , 2:

15

SPSS

( ).

, , , :

.

4. , , . SPSS , . , , , .

. - , 2:

16

SPSS

. , .. , . , , (p-value < 0,05!).

ANOVAa,b

388,295 2 194,148 19,069 ,00050,495 1 50,495 4,960 ,036

388,229 1 388,229 38,132 ,0001845,996 3 615,332 60,437 ,0001234,967 2 617,483 60,649 ,000

214,112 1 214,112 21,030 ,00013,220 2 6,610 ,649 ,532

2247,511 7 321,073 31,536 ,000223,989 22 10,181

2471,500 29 85,224

(Combined) 250

Covariates

(Combined)

Main Effec ts

* 2-Way InteractionsModelResidualTotal

1000

Sum ofSquares df Mean Square F Sig.

Experimental Method

1000 by , with 250 , a.

Covariates entered firstb. , . , , , 32 . , 100 %- .

. - , 2:

17

SPSS

MCAa

10 40,40 41,44 -10,100 -9,06510 60,10 59,52 9,600 9,01810 51,00 50,55 ,500 ,04615 53,33 54,87 2,833 4,36915 47,67 46,13 -2,833 -4,369

1000

N Unadjusted

Adjusted forFactors andCovariates

Predic ted Mean

Unadjusted


Deviation

1000 by , with 250 , a. , . , , . , 78,68 % , 9,73 %. , . , . - .

Factor Summarya

,887 ,813,312 ,481

1000

Eta


Beta

1000 by , with 250 ,

a.

. 90,4 % . !

Model Goodness of Fit

,951 ,904

1000 by, with 250 ,

R R SquaredFactors and Covariates

. - , 2:

18

Documents

Anova Tutorial Mr2 Spss