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PCs

Batch

Center

Day

Month

Year

Amount

Concentr.

Row

Column

Stage

Grade

Age

1

2.2e-16

2.2e-16

2.2e-16

2.2e-16

2.2e-16

2.2e-16

0.0004486

5.882547e-02

6.881028e-02

0.32

0.27

0.1071

2

0.5383

0.3486

0.5577

0.9876

0.2710

0.04873

0.6482

0.2862026

0.4786892

0.31

0.10

0.006634

3

0.04048

0.05258

0.03756

0.01480

0.1233

0.1786

0.5335

0.55585676

0.25289498

0.50

0.35

0.5131

4

0.0003439

0.01709

0.0008948

0.0001387

0.5725

0.7225

0.5267

0.0516508987

0.1404578746

0.43

0.43

0.02168

Finally, the center effect needs to go. Variables to adjust for: batch, center, plate row, plate column. Percent Variance explained after the adjustment:

It looks like removing the batch and the plate row did help some with the center effect but the plate column effect is still significantly higher. Need to remove that.

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Now remove the batch, plate row and plate column, look at the percent variance explained:

Now the first principal component explains a little less than 15% of the overall variability. Correlation with the adjustment and bio variables, see if the center effect still present:

PCs

Batch

Center

Day

Month

Year

Amount

Concentr.

Row

Column

Stage

Grade

Age

1

0.936

7.104e-05

0.881

0.915

0.938

0.780

0.027

0.998

0.757

0.36

0.22

0.6967

2

1

0.7801

1.00

1.00

0.96

0.92

0.75

0.97

0.45

0.36

0.30

0.02479

3

1

0.04068

1.00

1.00

0.93

0.97

0.51

1.00

0.18

0.30

0.27

0.1425