Table 1 Evaluation of the fitness of the discriminant models and the relative importance of canonical functions within each model.

From: Multivariate indicators of disease severity in COVID-19

Model 1

Suitability of data for discriminant analysis

Pooled within-groups matrices (correlation between predictor variables)

Box’s M test p-value (cutoff > 0.001)

 Pearson correlations

NK cells

ActSMB

T cells

ActNeut

ImGran

5.7528 × 10−14

 NK cells

1

    

 ActSMB

 − 0.192

1

   

 T cells

 − 0.080

0.144

1

  

 ActNeut

0.055

 − 0.534

0.117

1

 

 ImGran

0.377

 − 0.339

0.120

0.184

1

Model fitness

Step

Wilks’ λ

p-value

 1

0.351

1.1055 × 10−8

 2

0.189

1.0226 × 10−11

 3

0.125

3.3432 × 10−13

 4

0.083

1.261 × 10−14

 5

0.065

6.6843 × 10−15

 Model

0.065

4.8677 × 10−15

Discriminant function discriminatory power

 

Eigenvalue

% Variance

Canonical correlation

 First discriminant function

4.155

67.7

0.898

 Second discriminant function

1.985

32.3

0.815

Model 2

Suitability of data for discriminant analysis

Pooled within-groups matrices (correlation between predictor variables)

Box’s M test p-value (cutoff > 0.001)

 Pearson correlations

MAIT

En38NK

ActNB

En27NK

Temra

9.8324 × 10−22

 MAIT

1

    

 En38NK

0.147

1

   

 ActNB

 − 0.226

 − 0.254

1

  

 En27NK

0.192

 − 0.202

0.297

1

 

 Temra

 − 0.093

0.068

 − 0.039

 − 0.343

1

Model fitness

Step

Wilks’ λ

p-value

 1

0.459

1.4335 × 10−7

 2

0.347

8.8178 × 10−9

 3

0.224

3.6834 × 10−11

 4

0.191

1.9134 × 10−11

 5

0.166

1.3565 × 10−11

 Model

0.166

1.101 × 10−11

Discriminant function discriminatory power

 

Eigenvalue

% Variance

Canonical correlation

 First discriminant function

5.033

100.0

0.913

Model 3

Suitability of data for discriminant analysis

Pooled within-groups matrices (correlation between predictor variables)

Box’s M Test p-value (cutoff > 0.001)

 Pearson correlations

Monocyte HLA-DR MFI

ActSMB

NK cells

CXCR5+CD8+ MAIT

cDC HLA-DR MFI

CD45RA+ effector memory CD8+ T cells

Neutrophils

N/A

 Monocyte HLA-DR MFI

1

      

 ActSMB

 − 0.501

1

     

 NK cells

0.231

 − 0.333

1

    

 CXCR5+CD8+ MAIT

 − 0.094

 − 0.252

 − 0.224

1

   

 cDC HLA-DR MFI

0.097

 − 0.165

 − 0.158

 − 0.227

1

  

 CD45RA+ effector memory CD8+ T cells

 − 0.053

 − 0.022

0.207

0.374

0.156

1

 

 Neutrophils

 − 0.163

 − 0.007

 − 0.228

0.251

0.012

 − 0.397

1

Model fitness

Step

Wilks’ λ

p-value

 1

0.413

3 × 10−6

 2

0.196

3.1293 × 10−9

 3

0.0.142

6.324 × 10−10

 4

0.113

4.3273 × 10−10

 5

0.095

4.9018 × 10−10

 6

0.072

2.1319 × 10−10

 7

0.058

2.0125 × 10−11

 Model

0.058

8.7331 × 10−11

Discriminant function discriminatory power

 

Eigenvalue

% Variance

Canonical correlation

 First discriminant function

16.219

100.0

0.971

  1. Model variables were sequentially incorporated into the model, one at a time, and are listed in the order they were incorporated.
  2. NK cells natural killer cells, en27NK CD27+ NK cells, en38NK CD38+ NK cells, actNeut activated HLA-DR+ neutrophils, imGran Ki67+ immature granulocytes, Temra CD27CD45RA+ effector memory CD8+ T cells, actNB CD21+CD27Ki67+ B cells, actSMB CD21CD27+CD38lo B cells.