output

34
/* Open the dataset and display the variables */ GET file 'C:\ \Plankton.sav'. LIST id light strain t1 t2 t3 t4 t5 t6 t7 t8 t9 t10 t11 t12 t13 t14 t15 t16 t17 t18 t19. List Output Created Comments Data Filter Weight Split File N of Rows in Working Data File Syntax Processor Time Elapsed Time Input Resources 00 00:00:00.010 00 00:00:00.000 LIST id light strain t1 t2 t3 t4 t5 t6 t7 t8 t9 t10 t11 t12 t13 t14 t15 t16 t17 t18 t19. 4 <none> <none> <none> C:\ Plankton.sav 14-Jan-2011 04:48:07 Notes C:\ Plankton.sav The variables are listed in the following order: LINE 1: ID Light Strain t1 t2 t3 t4 t5 t6 LINE 2: t7 t8 t9 t10 t11 t12 t13 t14 t15 LINE 3: t16 t17 t18 t19 ID: 1 1 1 2844 1924 2000 1934 1664 2344 t7: 1978 2958 3386 3060 4650 5448 6856 7476 5536 t16: 6264 13018 17092 13056 ID: 2 1 2 1554 1274 950 912 1066 2544 t7: 1350 1780 2648 3650 7054 5624 7934 11166 7350 t16: 10068 15498 25136 28700 Page 1

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Page 1: Output

/* Open the dataset and display the variables */

GET file 'C:\ \Plankton.sav'.

LIST id light strain t1 t2 t3 t4 t5 t6 t7 t8 t9 t10 t11 t12 t13 t14 t15 t16 t17 t18 t19.

List

Output Created

Comments

Data

Filter

Weight

Split File

N of Rows in Working Data File

Syntax

Processor Time

Elapsed Time

Input

Resources

00 00:00:00.010

00 00:00:00.000

LIST id light strain t1 t2 t3 t4 t5 t6 t7 t8 t9 t10 t11 t12 t13 t14 t15 t16 t17 t18 t19.

4

<none>

<none>

<none>

C:\ Plankton.sav

14-Jan-2011 04:48:07

Notes

C:\ Plankton.sav

The variables are listed in the following order:

LINE   1: ID Light Strain t1 t2 t3 t4 t5 t6

LINE   2: t7 t8 t9 t10 t11 t12 t13 t14 t15

LINE   3: t16 t17 t18 t19

          ID:            1            1            1         2844         1924

         2000         1934         1664         2344

          t7:         1978         2958         3386         3060         4650

         5448         6856         7476         5536

         t16:         6264        13018        17092        13056

          ID:            2            1            2         1554         1274

          950          912         1066         2544

          t7:         1350         1780         2648         3650         7054

         5624         7934        11166         7350

         t16:        10068        15498        25136        28700

Page 1

Page 2: Output

          ID:            3            2            1         2128         1962

         1560         1688         1478         1744

          t7:         2404         1394         2780         2478         4646

         3882         4486         4558         4880

         t16:         4314         7302         9880        11212

          ID:            4            2            2         1406         1196

          840         1422          588         1102

          t7:         1092         1836         2778         2664         4570

         4998         6430         6374         3564

         t16:         7062         9874        21604        21444

Number of cases read:  4    Number of cases listed:  4

/* Demonstrate that modelling these data with 19 factors for time is incorrect */

/* I included this to show that 1) this model is incorrect, and 2) to verify the results you posted earlier */

TITLE "MODEL 0 - Incorrect GLM Model".

Page 2

Page 3: Output

MODEL 0 - Incorrect GLM Model

GLM t1 t2 t3 t4 t5 t6 t7 t8 t9 t10 t11 t12 t13 t14 t15 t16 t17 t18 t19 by strain

  /WSFACTOR = t 19

  /WSDESIGN=t

  /DESIGN=strain

  /EMMEANS=tables( t*strain)

  /PLOT=PROFILE( t*strain).

General Linear Model

Output Created

Comments

Data

Filter

Weight

Split File

N of Rows in Working Data File

Definition of Missing

Cases Used

Syntax

Processor Time

Elapsed Time

Input

Missing Value Handling

Resources

00 00:00:01.076

00 00:00:01.529

GLM t1 t2 t3 t4 t5 t6 t7 t8 t9 t10 t11 t12 t13 t14 t15 t16 t17 t18 t19 by strain /WSFACTOR = t 19 /WSDESIGN=t /DESIGN=strain /EMMEANS=tables( t*strain) /PLOT=PROFILE( t*strain).

Statistics are based on all cases with valid data for all variables in the model.

User-defined missing values are treated as missing.

4

<none>

<none>

<none>

C:\ Plankton.sav

14-Jan-2011 04:48:07

Notes

C:\ Plankton.sav

Page 3

Page 4: Output

MODEL 0 - Incorrect GLM Model

Dependent Variable

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19 t19

t18

t17

t16

t15

t14

t13

t12

t11

t10

t9

t8

t7

t6

t5

t4

t3

t2

t1

tt

Within-Subjects Factors

Measure:MEASURE_1

N

1

2

Strain

2

2

Between-Subjects Factors

Page 4

Page 5: Output

MODEL 0 - Incorrect GLM Model

Sig.Error dfHypothesis dfFValue

Pillai's Trace

Wilks' Lambda

Hotelling's Trace

Roy's Largest Root

Pillai's Trace

Wilks' Lambda

Hotelling's Trace

Roy's Largest Root

t

t * Strain

.....a

.....a

.....a

.....a

.....a

.....a

.....a

.....a

EffectEffect

Multivariate Testsb

a. Cannot produce multivariate test statistics because of insufficient residual degrees of freedom.b. Design: Intercept + Strain Within Subjects Design: t

Sig.dfApprox. Chi-

SquareMauchly's W

t .170..000

Within Subjects EffectWithin Subjects Effect

Mauchly's Test of Sphericityb

Measure:MEASURE_1

Lower-boundHuynh-FeldtGreenhouse-

Geisser

Epsilona

t .056.431.083

Within Subjects EffectWithin Subjects Effect

Mauchly's Test of Sphericityb

Measure:MEASURE_1

Tests the null hypothesis that the error covariance matrix of the orthonormalized transformed dependent variables is proportional to an identity matrix.

a. May be used to adjust the degrees of freedom for the averaged tests of significance. Corrected tests are displayed in the Tests of Within-Subjects Effects table.b. Design: Intercept + Strain Within Subjects Design: t

Page 5

Page 6: Output

MODEL 0 - Incorrect GLM Model

Sig.FMean SquaredfType III Sum of Squares

Sphericity Assumed

Greenhouse-Geisser

Huynh-Feldt

Lower-bound

Sphericity Assumed

Greenhouse-Geisser

Huynh-Feldt

Lower-bound

Sphericity Assumed

Greenhouse-Geisser

Huynh-Feldt

Lower-bound

t

t * Strain

Error(t)

39895197.5792.00079790395.158

5137742.47215.53079790395.158

26774976.1762.98079790395.158

2216399.8653679790395.158

.1286.3422.530E81.0002.530E8

.0016.34232584220.4907.7652.530E8

.0866.3421.698E81.4902.530E8

.0006.34214056691.690182.530E8

.01951.4282.052E91.0002.052E9

.00051.4282.642E87.7652.052E9

.00551.4281.377E91.4902.052E9

.00051.4281.140E8182.052E9

SourceSource

Tests of Within-Subjects Effects

Measure:MEASURE_1

Page 6

Page 7: Output

MODEL 0 - Incorrect GLM Model

Sig.FMean SquaredfType III Sum of Squares

Linear

Quadratic

Cubic

Order 4

Order 5

Order 6

Order 7

Order 8

Order 9

Order 10

Order 11

Order 12

Order 13

Order 14

Order 15

Order 16

Order 17

Order 18

Linear

t

t * Strain .1336.0541.430E811.430E8

.0919.4792496654.75412496654.754

.2632.384198300.8601198300.860

.0998.6473811071.82313811071.823

.1355.9411608616.26311608616.263

.002629.0462080011.61512080011.615

.773.10864424.299164424.299

.543.5271050944.20611050944.206

.4001.127775182.5251775182.525

.971.002577.3161577.316

.1127.4264821716.87014821716.870

.03328.80431351202.696131351202.696

.03924.05947510261.662147510261.662

.1276.39912470087.156112470087.156

.2892.0442824035.04912824035.049

.01185.83036275392.587136275392.587

.001887.97954558977.045154558977.045

.010101.7074.129E814.129E8

.01660.8371.437E911.437E9

Source tSource t

Tests of Within-Subjects Contrasts

Measure:MEASURE_1

Page 7

Page 8: Output

MODEL 0 - Incorrect GLM Model

Sig.FMean SquaredfType III Sum of Squares

Quadratic

Cubic

Order 4

Order 5

Order 6

Order 7

Order 8

Order 9

Order 10

Order 11

Order 12

Order 13

Order 14

Order 15

Order 16

Order 17

Order 18

t * Strain

.882.0287379.30017379.300

.469.78765488.453165488.453

.2282.9541301775.32511301775.325

.1256.5621776640.46811776640.468

.001802.4932653533.35212653533.352

.3081.8331089207.89011089207.890

.735.151300952.5521300952.552

.493.693476410.4701476410.470

.1913.8001330804.85111330804.851

.3411.534995943.9701995943.970

.2882.0512232656.34412232656.344

.438.9241824926.74811824926.748

.996.00066.570166.570

.2093.3514630572.19514630572.195

.03527.08911448761.843111448761.843

.003368.52122642559.438122642559.438

.06414.10357247340.784157247340.784

Source tSource t

Tests of Within-Subjects Contrasts

Measure:MEASURE_1

Page 8

Page 9: Output

MODEL 0 - Incorrect GLM Model

Mean SquaredfType III Sum of Squares

Linear

Quadratic

Cubic

Order 4

Order 5

Order 6

Order 7

Order 8

Order 9

Order 10

Order 11

Order 12

Order 13

Order 14

Order 15

Order 16

Order 17

Order 18

Error(t)

263375.8552526751.711

83183.6212166367.242

440751.3122881502.624

270748.9232541497.847

3306.61326613.226

594215.45721188430.915

1995267.83123990535.662

687836.37821375672.757

350217.0972700434.194

649300.06021298600.120

1088446.87122176893.741

1974763.99023949527.980

1948734.56823897469.136

1381851.92822763703.855

422640.1762845280.352

61441.7232122883.446

4059337.75628118675.512

23619777.419247239554.839

Source tSource t

Tests of Within-Subjects Contrasts

Measure:MEASURE_1

Sig.FMean SquaredfType III Sum of Squares

Intercept

Strain

Error 27349083.421254698166.842

.3261.66645551450.579145551450.579

.01283.0052.270E912.270E9

SourceSource

Tests of Between-Subjects Effects

Measure:MEASURE_1Transformed Variable:Average

Estimated Marginal Means

Page 9

Page 10: Output

MODEL 0 - Incorrect GLM Model

Std. ErrorMean Upper BoundLower Bound

95% Confidence Interval

1

2

1

2

1

2

1

2

1

2

1

2

1

2

1

2

1

2

1

2

1

2

1

2

1

2

1

2

1

2

1

2

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

14015.6603114.3401266.8148565.000

10739.660-161.6601266.8145289.000

11302.145-388.1451358.4985457.000

11053.145-637.1451358.4985208.000

17304.828235.1721983.6208770.000

14551.828-2517.8281983.6206017.000

11451.9672912.033992.4037182.000

9940.9671401.033992.4035671.000

7876.5112745.489596.2635311.000

7230.5112099.489596.2634665.000

9590.7092033.291878.2285812.000

8426.709869.291878.2284648.000

4898.7241415.276404.8023157.000

4510.7241027.276404.8022769.000

3655.8311770.169219.1282713.000

4025.8312140.169219.1283083.000

4188.709-572.709553.3121808.000

4556.709-204.709553.3122176.000

1978.621463.379176.0821221.000

2948.6211433.379176.0822191.000

4198.908-552.908552.1961823.000

4419.908-331.908552.1962044.000

1607.25346.747181.342827.000

2351.253790.747181.3421571.000

2028.358305.642200.1921167.000

2672.358949.642200.1921811.000

1584.935205.065160.351895.000

2469.9351090.065160.3511780.000

1366.9871103.01330.6761235.000

2074.9871811.01330.6761943.000

2592.217367.783258.4961480.000

3598.2171373.783258.4962486.000

t Straint Strain

t * Strain

Measure:MEASURE_1

Page 10

Page 11: Output

MODEL 0 - Incorrect GLM Model

Std. ErrorMean Upper BoundLower Bound

95% Confidence Interval

1

2

1

2

1

2

17

18

19

36460.81713683.1832646.92925072.000

23522.817745.1832646.92912134.000

35586.04611153.9542839.18923370.000

25702.0461269.9542839.18913486.000

24884.422487.5782835.09312686.000

22358.422-2038.4222835.09310160.000

t Straint Strain

t * Strain

Measure:MEASURE_1

Profile Plots

t

19181716151413121110987654321

Est

imat

ed M

arg

inal

Mea

ns

30000

25000

20000

15000

10000

5000

0

Estimated Marginal Means of MEASURE_1

21

Strain

Page 11

Page 12: Output

MODEL 0 - Incorrect GLM Model

/* Convert dataset from wide-format to long-format */

varstocases

/make growth from t1 t2 t3 t4 t5 t6 t7 t8 t9 t10 t11 t12 t13 t14 t15 t16 t17 t18 t19

 /index=time.

Variables to Cases

Output Created

Comments

Data

Filter

Weight

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Syntax

Processor Time

Elapsed Time

Input

Resources

00 00:00:00.000

00 00:00:00.000

varstocases /make growth from t1 t2 t3 t4 t5 t6 t7 t8 t9 t10 t11 t12 t13 t14 t15 t16 t17 t18 t19 /index=time.

<none>

<none>

<none>

C: Plankton.sav

14-Jan-2011 04:48:08

Notes

C:\ Plankton.sav

LabelName

<none>growth

<none>time

Generated Variables

Variables In

Variables Out 5

22

Processing Statistics

list cases /var=id light strain time growth.

List

Page 12

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MODEL 0 - Incorrect GLM Model

Output Created

Comments

Filter

Weight

Split File

N of Rows in Working Data File

Syntax

Processor Time

Elapsed Time

Input

Resources

00 00:00:00.000

00 00:00:00.000

list cases /var=id light strain time growth.

76

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14-Jan-2011 04:48:08

Notes

C:\ Plankton.sav

          ID        Light       Strain time       growth

           1            1            1    1         2844

           1            1            1    2         1924

           1            1            1    3         2000

           1            1            1    4         1934

           1            1            1    5         1664

           1            1            1    6         2344

           1            1            1    7         1978

           1            1            1    8         2958

           1            1            1    9         3386

           1            1            1   10         3060

           1            1            1   11         4650

           1            1            1   12         5448

           1            1            1   13         6856

           1            1            1   14         7476

           1            1            1   15         5536

           1            1            1   16         6264

           1            1            1   17        13018

           1            1            1   18        17092

           1            1            1   19        13056

           2            1            2    1         1554

           2            1            2    2         1274

           2            1            2    3          950

Page 13

Page 14: Output

MODEL 0 - Incorrect GLM Model

           2            1            2    4          912

           2            1            2    5         1066

           2            1            2    6         2544

           2            1            2    7         1350

           2            1            2    8         1780

           2            1            2    9         2648

           2            1            2   10         3650

           2            1            2   11         7054

           2            1            2   12         5624

           2            1            2   13         7934

           2            1            2   14        11166

           2            1            2   15         7350

           2            1            2   16        10068

           2            1            2   17        15498

           2            1            2   18        25136

           2            1            2   19        28700

           3            2            1    1         2128

           3            2            1    2         1962

           3            2            1    3         1560

           3            2            1    4         1688

           3            2            1    5         1478

           3            2            1    6         1744

           3            2            1    7         2404

           3            2            1    8         1394

           3            2            1    9         2780

           3            2            1   10         2478

           3            2            1   11         4646

           3            2            1   12         3882

           3            2            1   13         4486

           3            2            1   14         4558

           3            2            1   15         4880

           3            2            1   16         4314

           3            2            1   17         7302

           3            2            1   18         9880

           3            2            1   19        11212

           4            2            2    1         1406

           4            2            2    2         1196

           4            2            2    3          840

           4            2            2    4         1422

           4            2            2    5          588

Page 14

Page 15: Output

MODEL 0 - Incorrect GLM Model

           4            2            2    6         1102

           4            2            2    7         1092

           4            2            2    8         1836

           4            2            2    9         2778

           4            2            2   10         2664

           4            2            2   11         4570

           4            2            2   12         4998

           4            2            2   13         6430

           4            2            2   14         6374

           4            2            2   15         3564

           4            2            2   16         7062

           4            2            2   17         9874

           4            2            2   18        21604

           4            2            2   19        21444

Number of cases read:  76    Number of cases listed:  76

/* Graph empirical growth plots */

FORMATS time growth (f3.0) id (f2.0).

GGRAPH

  /GRAPHDATASET NAME="GraphDataset" VARIABLES= growth time id

  /GRAPHSPEC SOURCE=INLINE INLINETEMPLATE=[ "<setWrapPanels/>"].

BEGIN GPL

SOURCE: s=userSource( id( "GraphDataset" ) )

DATA: growth=col( source(s), name( "growth" ) )

DATA: time=col( source(s), name( "time" ) )

DATA: id=col( source(s), name( "id" ), unit.category() )

GUIDE: text.title( label( "Empirical Growth Plots" ) )

GUIDE: axis( dim( 1 ), label( "Time" ) )

GUIDE: axis( dim( 2 ), label( "Growth" ) )

GUIDE: axis( dim( 3 ), label( "ID" ), opposite() )

SCALE: linear( dim( 1 ), min( 0 ), max( 20 ) )

SCALE: linear( dim( 2 ), min( 500 ), max( 25000 ) )

ELEMENT: line( position( smooth.spline( summary.mode( time * growth * id  ) ) ))

ELEMENT: point( position( summary.mode( time * growth * id ) ) )

END GPL.

GGraph

Page 15

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MODEL 0 - Incorrect GLM Model

Output Created

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Input

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00 00:00:00.475

00 00:00:00.530

GGRAPH /GRAPHDATASET NAME="GraphDataset" VARIABLES= growth time id /GRAPHSPEC SOURCE=INLINE INLINETEMPLATE=[ "<setWrapPanels/>"].BEGIN GPLSOURCE: s=userSource( id( "GraphDataset" ) )DATA: growth=col( source(s), name( "growth" ) )DATA: time=col( source(s), name( "time" ) )DATA: id=col( source(s), name( "id" ), unit.category() )GUIDE: text.title( label( "Empirical Growth Plots" ) )GUIDE: axis( dim( 1 ), label( "Time" ) )GUIDE: axis( dim( 2 ), label( "Growth" ) )GUIDE: axis( dim( 3 ), label( "ID" ), opposite() )SCALE: linear( dim( 1 ), min( 0 ), max( 20 ) )SCALE: linear( dim( 2 ), min( 500 ), max( 25000 ) )ELEMENT: line( position( smooth.spline( summary.mode( time * growth * id ) ) ))ELEMENT: point( position( summary.mode( time * growth * id ) ) )END GPL.

76

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Empirical Growth Plots

/* Graph linear empirical growth plots */

GGRAPH

  /GRAPHDATASET NAME="GraphDataset" VARIABLES= growth time id

  /GRAPHSPEC SOURCE=INLINE INLINETEMPLATE=[ "<setWrapPanels/>"].

BEGIN GPL

SOURCE: s=userSource( id( "GraphDataset" ) )

DATA: growth=col( source(s), name( "growth" ) )

DATA: time=col( source(s), name( "time" ) )

DATA: id=col( source(s), name( "id" ), unit.category() )

GUIDE: text.title( label( "Linear Empirical Growth Plots" ) )

GUIDE: axis( dim( 1 ), label( "Time" ) )

GUIDE: axis( dim( 2 ), label( "Growth" ) )

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GUIDE: axis( dim( 3 ), label( "ID" ), opposite() )

SCALE: linear( dim( 1 ), min( 0 ), max( 20 ) )

SCALE: linear( dim( 2 ), min( 500 ), max( 25000 ) )

ELEMENT: line( position(smooth.linear( time * growth * id ) ))

ELEMENT: point( position( summary.mode( time * growth * id ) ) )

END GPL.

GGraph

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GGRAPH /GRAPHDATASET NAME="GraphDataset" VARIABLES= growth time id /GRAPHSPEC SOURCE=INLINE INLINETEMPLATE=[ "<setWrapPanels/>"].BEGIN GPLSOURCE: s=userSource( id( "GraphDataset" ) )DATA: growth=col( source(s), name( "growth" ) )DATA: time=col( source(s), name( "time" ) )DATA: id=col( source(s), name( "id" ), unit.category() )GUIDE: text.title( label( "Linear Empirical Growth Plots" ) )GUIDE: axis( dim( 1 ), label( "Time" ) )GUIDE: axis( dim( 2 ), label( "Growth" ) )GUIDE: axis( dim( 3 ), label( "ID" ), opposite() )SCALE: linear( dim( 1 ), min( 0 ), max( 20 ) )SCALE: linear( dim( 2 ), min( 500 ), max( 25000 ) )ELEMENT: line( position(smooth.linear( time * growth * id ) ))ELEMENT: point( position( summary.mode( time * growth * id ) ) )END GPL.

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Linear Empirical Growth Plots

/* Graph spaghetti empirical growth plots */

GGRAPH

  /GRAPHDATASET NAME="GraphDataset" VARIABLES= growth time id

  /GRAPHSPEC SOURCE=INLINE .

BEGIN GPL

SOURCE: s=userSource( id( "GraphDataset" ) )

DATA: growth=col( source(s), name( "growth" ) )

DATA: time=col( source(s), name( "time" ) )

DATA: id=col( source(s), name( "id" ), unit.category() )

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GUIDE: text.title( label( "Spaghetti Plot" ) )

GUIDE: axis( dim( 1 ), label( "Time" ) )

GUIDE: axis( dim( 2 ), label( "Growth" ) )

GUIDE: legend( aesthetic( aesthetic.shape.interior ), null() )

SCALE: linear( dim( 1 ), min( 0 ), max( 20 ) )

SCALE: linear( dim( 2 ), min( 500 ), max( 25000 ) )

SCALE: cat( aesthetic( aesthetic.shape.interior ) )

ELEMENT: line( position( smooth.spline( summary.mode( time * growth ) ) ), shape.interior( id ))

END GPL.

GGraph

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GGRAPH /GRAPHDATASET NAME="GraphDataset" VARIABLES= growth time id /GRAPHSPEC SOURCE=INLINE .BEGIN GPLSOURCE: s=userSource( id( "GraphDataset" ) )DATA: growth=col( source(s), name( "growth" ) )DATA: time=col( source(s), name( "time" ) )DATA: id=col( source(s), name( "id" ), unit.category() )GUIDE: text.title( label( "Spaghetti Plot" ) )GUIDE: axis( dim( 1 ), label( "Time" ) )GUIDE: axis( dim( 2 ), label( "Growth" ) )GUIDE: legend( aesthetic( aesthetic.shape.interior ), null() )SCALE: linear( dim( 1 ), min( 0 ), max( 20 ) )SCALE: linear( dim( 2 ), min( 500 ), max( 25000 ) )SCALE: cat( aesthetic( aesthetic.shape.interior ) )ELEMENT: line( position( smooth.spline( summary.mode( time * growth ) ) ), shape.interior( id ))END GPL.

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Time

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Spaghetti Plot

/* Graph linear spaghetti empirical growth plots */

GGRAPH

  /GRAPHDATASET NAME="GraphDataset" VARIABLES= growth time id

  /GRAPHSPEC SOURCE=INLINE .

BEGIN GPL

SOURCE: s=userSource( id( "GraphDataset" ) )

DATA: growth=col( source(s), name( "growth" ) )

DATA: time=col( source(s), name( "time" ) )

DATA: id=col( source(s), name( "id" ), unit.category() )

GUIDE: text.title( label( "Linear Spaghetti Plot" ) )

GUIDE: axis( dim( 1 ), label( "Time" ) )

GUIDE: axis( dim( 2 ), label( "Growth" ) )

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GUIDE: legend( aesthetic( aesthetic.shape.interior ), null() )

SCALE: linear( dim( 1 ), min( 0 ), max( 20 ) )

SCALE: linear( dim( 2 ), min( 500 ), max( 25000 ) )

SCALE: cat( aesthetic( aesthetic.shape.interior ) )

ELEMENT: line( position( smooth.linear( summary.mode( time * growth ) ) ), shape.interior( id ))

ELEMENT: line( position( smooth.linear( time * growth ) ), color(color.red) )

END GPL.

GGraph

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GGRAPH /GRAPHDATASET NAME="GraphDataset" VARIABLES= growth time id /GRAPHSPEC SOURCE=INLINE .BEGIN GPLSOURCE: s=userSource( id( "GraphDataset" ) )DATA: growth=col( source(s), name( "growth" ) )DATA: time=col( source(s), name( "time" ) )DATA: id=col( source(s), name( "id" ), unit.category() )GUIDE: text.title( label( "Linear Spaghetti Plot" ) )GUIDE: axis( dim( 1 ), label( "Time" ) )GUIDE: axis( dim( 2 ), label( "Growth" ) )GUIDE: legend( aesthetic( aesthetic.shape.interior ), null() )SCALE: linear( dim( 1 ), min( 0 ), max( 20 ) )SCALE: linear( dim( 2 ), min( 500 ), max( 25000 ) )SCALE: cat( aesthetic( aesthetic.shape.interior ) )ELEMENT: line( position( smooth.linear( summary.mode( time * growth ) ) ), shape.interior( id ))ELEMENT: line( position( smooth.linear( time * growth ) ), color(color.red) )END GPL.

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Linear Spaghetti Plot

/* Graph linear spaghetti empirical growth plots by strain */

VALUE LABELS strain 1 "CCAP" 2 "PCC".

GGRAPH

  /GRAPHDATASET NAME="GraphDataset" VARIABLES= growth time id strain

  /GRAPHSPEC SOURCE=INLINE INLINETEMPLATE=["<setWrapPanels/>"].

BEGIN GPL

SOURCE: s=userSource( id( "GraphDataset" ) )

DATA: growth=col( source(s), name( "growth" ) )

DATA: time=col( source(s), name( "time" ) )

DATA: id=col( source(s), name( "id" ), unit.category() )

DATA: strain=col( source(s), name( "strain" ), unit.category() )

GUIDE: text.title( label( "Linear Plot by Strain" ) )

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GUIDE: axis( dim( 1 ), label( "Time" ) )

GUIDE: axis( dim( 2 ), label( "Growth" ) )

GUIDE: axis( dim( 3 ), label( "Strain" ), opposite() )

GUIDE: legend( aesthetic( aesthetic.shape.interior ), null() )

SCALE: linear( dim( 1 ), min( 0 ), max( 20 ) )

SCALE: linear( dim( 2 ), min( 500 ), max( 25000 ) )

ELEMENT: line( position( smooth.linear( summary.mode( time * growth * strain) ) ), shape.interior( id ))

ELEMENT: line( position( smooth.linear( time * growth  * strain) ), color(color.red) )

END GPL.

GGraph

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GGRAPH /GRAPHDATASET NAME="GraphDataset" VARIABLES= growth time id strain /GRAPHSPEC SOURCE=INLINE INLINETEMPLATE=["<setWrapPanels/>"].BEGIN GPLSOURCE: s=userSource( id( "GraphDataset" ) )DATA: growth=col( source(s), name( "growth" ) )DATA: time=col( source(s), name( "time" ) )DATA: id=col( source(s), name( "id" ), unit.category() )DATA: strain=col( source(s), name( "strain" ), unit.category() )GUIDE: text.title( label( "Linear Plot by Strain" ) )GUIDE: axis( dim( 1 ), label( "Time" ) )GUIDE: axis( dim( 2 ), label( "Growth" ) )GUIDE: axis( dim( 3 ), label( "Strain" ), opposite() )GUIDE: legend( aesthetic( aesthetic.shape.interior ), null() )SCALE: linear( dim( 1 ), min( 0 ), max( 20 ) )SCALE: linear( dim( 2 ), min( 500 ), max( 25000 ) )ELEMENT: line( position( smooth.linear( summary.mode( time * growth * strain) ) ), shape.interior( id ))ELEMENT: line( position( smooth.linear( time * growth * strain) ), color(color.red) )END GPL.

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PCCCCAP

Linear Plot by Strain

/* Model growth over time to show time is significant -- unstructured covariance structure */

TITLE "Model 1 - Uncondtional Growth".

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Model 1 - Uncondtional Growth

MIXED growth by time

/METHOD=ml

 /FIXED= time

 /REPEATED=time | subject(id) covtype(un).

Mixed Model Analysis

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MIXED growth by time /METHOD=ml /FIXED= time /REPEATED=time | subject(id) covtype(un).

Statistics are based on all cases with valid data for all variables in the model.

User-defined missing values are treated as missing.

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Model cannot be fitted because number of observations is less than or equal to number of model parameters.

Warnings

/* Model growth over time by strain and interaction -- compound symmetric covariance structure */

TITLE "Model 2 - Uncontrolled Effects of Strain".

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Model 2 - Uncontrolled Effects of Strain

MIXED growth by strain time

/METHOD=ml

 /FIXED=strain time strain*time

 /REPEATED=time | subject(id) covtype(cs)

 /SAVE=fixpred(pred).

Mixed Model Analysis

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00 00:00:00.091

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MIXED growth by strain time /METHOD=ml /FIXED=strain time strain*time /REPEATED=time | subject(id) covtype(cs) /SAVE=fixpred(pred).

Statistics are based on all cases with valid data for all variables in the model.

User-defined missing values are treated as missing.

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Model 2 - Uncontrolled Effects of Strain

Number of Parameters

Covariance Structure

Number of Levels

Intercept

Strain

time

Strain * time

time

Total

Fixed Effects

Repeated Effects

4079

2Compound Symmetry

19

1838

1819

12

11

Model Dimensiona

Number of Subjects

Subject Variables

Intercept

Strain

time

Strain * time

time

Total

Fixed Effects

Repeated Effects 4ID

Model Dimensiona

a. Dependent Variable: growth.

-2 Log Likelihood

Akaike's Information Criterion (AIC)

Hurvich and Tsai's Criterion (AICC)

Bozdogan's Criterion (CAIC)

Schwarz's Bayesian Criterion (BIC)

1456.746

1496.746

1457.231

1363.517

1283.517

Information Criteriaa

The information criteria are displayed in smaller-is-better forms.

a. Dependent Variable: growth.

Fixed Effects

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Model 2 - Uncontrolled Effects of Strain

Sig.FDenominator

dfNumerator df

Intercept

Strain

time

Strain * time .00012.6847218

.000102.8557218

.1423.3314.0001

.000166.0104.0001

SourceSource

Type III Tests of Fixed Effectsa

a. Dependent Variable: growth.

Covariance Parameters

Std. ErrorEstimate

CS diagonal offset

CS covariance

Repeated Measures

509006.58116661386.40935

184699.988791108199.9327

ParameterParameter

Estimates of Covariance Parametersa

a. Dependent Variable: growth.

/* Graph predicted linear growth plots by strain */

GGRAPH

  /GRAPHDATASET NAME="GraphDataset" VARIABLES=time MEAN(pred)[name="MEAN_pred"] strain

  /GRAPHSPEC SOURCE=INLINE.

BEGIN GPL

SOURCE: s=userSource( id( "GraphDataset" ) )

DATA: time=col( source(s), name( "time" ) )

DATA: MEAN_pred=col( source(s), name( "MEAN_pred" ) )

DATA: strain=col( source(s), name( "strain" ), unit.category())

GUIDE: text.title( label( "Prototypical Linear Growth Plots" ) )

GUIDE: axis(dim(1), label( "Time" ) )

GUIDE: axis(dim(2), label( "Mean Fixed Predicted Values" ) )

GUIDE: legend( aesthetic(aesthetic.color.interior), label( "Strain" ) )

SCALE: linear(dim(1), min( 0 ), max( 20 ) )

SCALE: linear(dim(2), min( 500 ), max( 25000 ) )

ELEMENT: line( position( smooth.linear( time * MEAN_pred ) ), shape(strain))

END GPL.

GGraph

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Model 2 - Uncontrolled Effects of Strain

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GGRAPH /GRAPHDATASET NAME="GraphDataset" VARIABLES=time MEAN(pred)[name="MEAN_pred"] strain /GRAPHSPEC SOURCE=INLINE.BEGIN GPLSOURCE: s=userSource( id( "GraphDataset" ) )DATA: time=col( source(s), name( "time" ) )DATA: MEAN_pred=col( source(s), name( "MEAN_pred" ) )DATA: strain=col( source(s), name( "strain" ), unit.category())GUIDE: text.title( label( "Prototypical Linear Growth Plots" ) )GUIDE: axis(dim(1), label( "Time" ) )GUIDE: axis(dim(2), label( "Mean Fixed Predicted Values" ) )GUIDE: legend( aesthetic(aesthetic.color.interior), label( "Strain" ) )SCALE: linear(dim(1), min( 0 ), max( 20 ) )SCALE: linear(dim(2), min( 500 ), max( 25000 ) )ELEMENT: line( position( smooth.linear( time * MEAN_pred ) ), shape(strain))END GPL.

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Time

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Mea

n F

ixed

Pre

dic

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Val

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15,000.00

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Prototypical Linear Growth Plots

PCCCCAP

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