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Table 3 Summary of the 1st-round of modeling

From: Modeling the dependence of respiration and photosynthesis upon light, acetate, carbon dioxide, nitrate and ammonium in Chlamydomonas reinhardtiiusing design of experiments and multiple regression

CR

MACYT

MAALT

AICcALL = 263.56 AICcMOD = 203.75

AICcALL = 285.34 AICcMOD = 228.73

AICcALL = 264.77 AICcMOD = 219.39

R2 = 0.83 R2 adjusted = 0.81

R2 = 0.70 R2 adjusted = 0.64

R2 = 0.74 R2 adjusted = 0.68

RMSEF = 2.7 (37% of the average scale)

RMSEF = 3.4 (45% of the average scale)

RMSEF = 2.7 (40% of the average scale)

Whole-model ANOVA: p < 0.0001*

Whole-model ANOVA: p < 0.0001*

Whole-model ANOVA: p < 0.0001*

Lack-of-fit: p = 0.4295

Lack-of-fit: p = 0.9282

Lack-of-fit: p = 0.6110

 

Factor

β

p-value

 

Factor

β

p-value

 

Factor

β

p-value

1

[Acetate]

0.660

<0.0001*

1

[Acetate]

0.608

<0.0001*

1

[NH 4 + ]

-0.465

<0.0001*

2

[NH 4 + ]

−0.471

<0.0001*

2

Light

0.405

0.0002*

2

Light

0.391

0.0001*

3

Light

0.367

<0.0001*

3

[NH 4 + ]

−0.355

0.0007*

3

[Acetate]

0.348

0.0004*

4

[Acetate]*[NH 4 + ]

−0.292

0.0002*

4

[NH4 +]*[NO3 -]

0.155

0.1125

4

[Acetate]*[Acetate]

−0.292

0.0026*

5

[Acetate]*Light

0.160

0.0297*

5

[Acetate]*Light

0.136

0.1635

5

[Acetate]*[NH 4 + ]

−0.252

0.0078*

    

6

[NO3 -]

−0.095

0.3243

6

[NH4 +]*[NO3 -]

0.248

0.0090*

        

7

[NH4 +]*Light

−0.171

0.0637

        

8

[NO3 -]

0.100

0.2671

ΦPSII 800

NPQ 800

P 800

AICcALL = -53.30 AICcMOD = -110.93

AICcALL = -25.05 AICcMOD = -78.73

AICcALL = 422.01 AICcMOD = 373.30

R2 = 0.80 R2 adjusted = 0.76

R2 = 0.52 R2 adjusted = 0.44

R2 = 0.75 R2 adjusted = 0.68

RMSEF = 0.056 (28% of the average scale)

RMSEF = 0.081 (40% of the average scale)

RMSEF = 16.4 (37% of the average scale)

Whole-model ANOVA: p < 0.0001*

Whole-model ANOVA: p < 0.0001*

Whole-model ANOVA: p < 0.0001*

Lack-of-fit: p = 0.1462

Lack-of-fit: p = 0.2226

Lack-of-fit: p = 0.0874

 

Factor

β

p-value

 

Factor

β

p-value

 

Factor

β

p-value

1

Light

0.804

<0.0001*

1

[NO 3 - ]*[NO 3 - ]

-0.418

0.0011*

1

Light

0.579

<0.0001*

2

Light*[NH4 +]

-0.243

0.0029*

2

[Acetate]*Light

-0.360

0.0041*

2

[NO 3 - ]*[NO 3 - ]

-0.755

0.0002*

3

[Acetate]*[Acetate]

-0.225

0.0062*

3

[Acetate]

-0.354

0.0046*

3

[Acetate]*[Acetate]

0.554

0.0039*

4

[Acetate]

0.161

0.0424*

4

[NH4 +]

-0.202

0.0928

4

[NO 3 - ]

0.273

0.0043*

5

[CO2]

-0.153

0.0534

5

Light

-0.126

0.2919

5

[NH4 +]*[NO3 -]

-0.251

0.0083*

6

[NH4 +]

0.044

0.5675

6

[NO3 -]

-0.114

0.3388

6

[Acetate]*Light

-0.216

0.0214*

        

7

[CO2]

0.152

0.0991

        

8

[NH4 +]

-0.129

0.1555

        

9

[Acetate]

-0.048

0.5948

  1. AICcALL and AICcMOD correspond to hypothetical models which would comprise every 19 initial effects and the 1st-round models which only contain the stepwise-selected effects, respectively. RMSEF standardized in terms of percentage of the average scale (i.e. the difference between the mean and minimal experimental response values) is displayed to facilitate error comparison among models. Numbers ranging from 1 to 9 classify the different effects by increasing order of individual p-value, and β-weights are also provided. Statistically significant p-values (p ≤ 0.05) are surrounded by *. Effects which are highlighted in bold were considered as major explanatory ones and selected for the 2nd-round of modeling.