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Table 3 Assessment of differences and equivalences.

From: A statistical assessment of differences and equivalences between genetically modified and reference plant varieties

 

GMO vs. counterpart

GMO vs. reference mean

Analyte

ratio

dlow

dupp

sedGC;1

dfGC;1

ratio

elow

eupp

sedGR;2

dfGR;2

16:0 Palmitic

1.034

0.9887

1.081

0.02658

49.3

1.3811

1.0317

1.849

0.1317

10.5

16:1 Palmitoleic

0.999

0.9558

1.045

0.02638

38.7

0.9982

0.7841

1.271

0.1055

8.4

18:0 Stearic

1.008

0.9538

1.066

0.03307

41.7

0.8355

0.57

1.225

0.1736

10.9

18:1 Oleic

1.074

1.0294

1.121

0.02538

42.1

1.1519

0.7595

1.747

0.1897

11.2

18:2 Linoleic

0.987

0.9366

1.04

0.03121

42.2

0.8908

0.6886

1.152

0.1155

10

18:3 Linolenic

0.904

0.8606

0.95

0.02942

39.9

0.9234

0.7009

1.216

0.1221

9.1

20:0 Arachidic

1.034

0.9906

1.079

0.02545

41.5

0.9931

0.7816

1.262

0.1075

10

20:1 Eicosenoic

0.995

0.9419

1.051

0.03253

41.4

1.11

0.8068

1.527

0.1432

10

22:0 Behenic

0.946

0.9117

0.981

0.0218

41.4

0.9766

0.7672

1.243

0.1089

10.4

Acid detergent fiber

1.103

0.9805

1.241

0.07046

51.9

1.1026

0.8373

1.452

0.1027

4.4

Alanine

1.031

0.9986

1.065

0.0192

41.4

0.9096

0.7052

1.173

0.1154

10.8

Arginine

1.048

1.0107

1.087

0.02153

41.9

0.9188

0.8077

1.045

0.0558

7.9

Ash

1.033

0.958

1.114

0.04498

54.6

0.9187

0.8581

0.9841

0.0341

53.6

Aspartic acid

1.033

1.0049

1.061

0.0161

41.4

0.9138

0.7455

1.12

0.0921

10.7

Calcium

0.963

0.9184

1.009

0.02801

48.5

1.1571

0.7993

1.675

0.1673

10.6

Carbohydrates

0.992

0.9875

0.997

0.00274

42

1.0084

0.9895

1.028

0.0083

8.2

Copper

1.069

0.9963

1.148

0.04221

51

0.9395

0.5947

1.484

0.2073

10.8

Cystine

0.994

0.9636

1.026

0.01863

40.1

0.9286

0.7797

1.106

0.0779

9.5

Ferulic acid

0.87

0.8132

0.931

0.04008

41.8

0.9489

0.7179

1.254

0.1234

9

Folic acid

1.138

0.929

1.395

0.12096

44.1

1.0786

0.6948

1.674

0.1515

3.6

Glutamic acid

1.033

0.9984

1.07

0.02055

41.4

0.9138

0.6908

1.209

0.127

10.9

Glycine

1.035

1.0084

1.063

0.01571

40.2

0.9343

0.8292

1.053

0.0525

8.8

Histidine

1.026

0.994

1.06

0.01903

40.7

0.9325

0.7711

1.128

0.0853

10

Iron

0.967

0.9015

1.036

0.04159

49.4

0.8776

0.6544

1.177

0.1288

8.6

Isoleucine

1.044

1.0045

1.086

0.0232

41.6

0.9292

0.7137

1.21

0.1192

10.5

Leucine

1.032

0.9942

1.072

0.02241

41.3

0.9129

0.6673

1.249

0.1422

10.9

Lysine

1.043

1.0084

1.08

0.02037

48.8

0.9282

0.8532

1.01

0.0322

4.7

Magnesium

1.041

1.0089

1.074

0.01863

42.6

0.9647

0.796

1.169

0.0863

10

Manganese

1.051

1.0047

1.1

0.02702

41.1

1.0053

0.6585

1.535

0.1922

11

Methionine

0.972

0.9338

1.012

0.02398

41.1

0.9095

0.7004

1.181

0.1177

10.3

Moisture

1.013

0.9938

1.032

0.0113

49.5

1.01

0.9357

1.09

0.0336

8.6

Neutral detergent fiber

1.139

1.0413

1.245

0.05322

43.2

1.072

0.8703

1.32

0.0778

4.4

Niacin

0.872

0.8405

0.904

0.0216

41.7

0.7602

0.5862

0.986

0.1178

10.8

p-coumaric acid

0.957

0.8867

1.034

0.04565

42.1

0.8938

0.5145

1.553

0.2498

10.6

Phenylalanine

1.037

1.0043

1.071

0.01921

41.4

0.9187

0.6965

1.212

0.1258

11

Phosphorus

1.002

0.9698

1.034

0.01923

48.5

0.8823

0.7537

1.033

0.0694

8.8

Phytic acid

0.919

0.8042

1.049

0.07949

53.2

0.7958

0.70821

0.8941

0.0581

52.2

Potassium

0.978

0.9509

1.006

0.01665

47.9

0.8798

0.7675

1.009

0.0595

8.2

Proline

1.055

1.0166

1.095

0.02199

41.9

0.9616

0.7333

1.261

0.1227

10.7

Protein

1.028

1.001

1.055

0.01566

41.2

0.9252

0.7454

1.148

0.098

10.8

Raffinose

1.036

0.9177

1.17

0.07232

49.1

1.3123

0.7939

2.169

0.2218

8.9

Serine

1.03

0.9944

1.067

0.02087

41.1

0.9167

0.7343

1.144

0.0998

10.2

Threonine

1.049

1.0131

1.087

0.02094

41.5

0.9383

0.7788

1.13

0.0834

9.8

Total dietary fiber

1.118

1.0211

1.225

0.05404

41.2

1.0407

0.8284

1.307

0.087

4.7

Total fat

1.054

1.0181

1.09

0.02035

41.9

1.033

0.8173

1.306

0.1062

10.8

Tryptophan

1.049

1.0002

1.101

0.02851

44

0.9292

0.8205

1.052

0.0487

5.1

Tyrosine

1.035

0.9483

1.13

0.05215

44.4

0.8782

0.6674

1.156

0.117

7.3

Valine

1.043

1.0096

1.078

0.0196

41.8

0.9203

0.7477

1.133

0.0936

10.3

Vitamin B1

1.023

0.9818

1.065

0.02433

43.3

0.9999

0.8059

1.241

0.0972

10.3

Vitamin B2

0.938

0.8799

0.999

0.03784

49

0.9036

0.7671

1.064

0.0611

4.4

Vitamin B6

0.997

0.9597

1.037

0.0229

41.6

0.8194

0.6529

1.028

0.1025

10.4

Vitamin E

0.953

0.8874

1.023

0.04217

42.5

0.6908

0.4718

1.011

0.1709

9.9

Zinc

0.978

0.9381

1.02

0.02495

42.5

0.8956

0.6814

1.177

0.1225

9.9

  1. The 90% confidence limits (dlow, dupp) are expressed on the scale of ratio GMO to counterpart mean. seds are on ln scale, ratio and 90% confidence limits are back-transformed. The 95% equivalence limits (elow and eupp) calculated on the scale of the ratio of GMO to reference mean. The point estimate of this ratio itself is given in the column ratio. The width of the equivalence interval depends on sedGR;2 , given on the logarithmic scale, and the degrees of freedom for equivalence (dfGR;2) calculated by the Kenward-Roger method. See text for further explanation.
  2. 1 For ash and phytic acid the equivalence intervals are not trustworthy, because the estimate of the variance between reference genotypes was 0 and sed GR;2 is based on lower strata (note also the high values of df GR;2 ).
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