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Table 2 Empirical power of chi-square test for spatial correlation, at level 0.05

From: The impact of spatial correlation on methylation entropy with application to mouse brain methylome

   

\(m=20\)

\(m=40\)

\(m=60\)

\(m=80\)

\(m=100\)

EXa

 

\(n=2\)

0.254

0.497

0.671

0.774

0.847

\(r=0.3\)

\(n=3\)

0.389

0.706

0.885

0.952

0.993

 

\(n=4\)

0.492

0.810

0.950

0.991

0.998

 

\(n=2\)

0.403

0.758

0.898

0.969

0.984

\(r=0.4\)

\(n=3\)

0.670

0.937

0.996

0.997

1.000

 

\(n=4\)

0.772

0.973

0.999

1.000

1.000

AR(1)a

 

\(n=2\)

0.254

0.497

0.671

0.774

0.847

\(r=0.3\)

\(n=3\)

0.274

0.524

0.773

0.881

0.958

 

\(n=4\)

0.300

0.565

0.761

0.915

0.963

 

\(n=2\)

0.403

0.758

0.898

0.969

0.984

\(r=0.4\)

\(n=3\)

0.505

0.849

0.973

0.994

1.000

 

\(n=4\)

0.535

0.873

0.986

1.000

0.999

  1. The empirical power is calculated based on 1000 simulated replicates under the alternative hypothesis
  2. a EX exchangeable, AR(1) first order autoregressive