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Youden plot

Plot z scores for two samples and spot systematic error. Free, no sign-up. Everything runs in your browser; nothing you enter is sent or stored.

Try a Youden plot

One line per laboratory: its z score for sample A, then for sample B. Points beyond ±4 are drawn at the edge.

-4-4-2-2002244z sample Az sample B
  • 9 inside the ±2 square
  • 2 outside, near the diagonal: high (or low) in both samples, which points to a systematic error
  • 1 outside, away from the diagonal: one sample only, or random error
  • 8 of 12 points sit in the ++ or −− quadrants.

How it works

A Youden plot puts each laboratory's z score for sample A against its z score for sample B. Points along the diagonal (high in both, or low in both) point to a systematic error, such as a calibration bias. Points far from the diagonal point to a problem with one sample, or to random error.

The dashed square marks ±2 on both axes. Many points in the two diagonal corners across a round means differences between laboratories (or methods) dominate.

For learning and for checking your own arithmetic. Your scheme's report and rules are what count.