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Table 1 Analysis of variance

From: Comparison of confidence interval methods for an intra-class correlation coefficient (ICC)

Source

DFa

Sum of squares

MSb

EMSc

Patient

b 0 - 1

l 0 r 0 ∑ b y b • • - y • • • 2

s b 2

σ e 2 + l 0 r 0 σ b 2

Lab/rater

l 0 - 1

b 0 r 0 ∑ l y • l • - y • • • 2

s l 2

σ e 2 + b 0 r 0 σ l 2

Error

r 0 b 0 l 0 - b 0 - l 0 + 1

∑ b , l , r y b l r - y b • • - y • l • + y • • • 2

s e 2

σ e 2

  1. aDF is degrees of freedom; bMS is observed mean squares; cEMS is expected means squares.
  2. Notation: y b • • is the average over l and s for fixed b.