Start with four exact score rows and true labels.

highlighted = computed this step

Show the four scored rows

Rows A, B, C, and D have exact scores. A has score 4/5, B has score 3/5, C has score 2/5, and D has score 1/5.

sA=4/5,sB=3/5,sC=2/5,sD=1/5s_A=4/5,\quad s_B=3/5,\quad s_C=2/5,\quad s_D=1/5
Decision Thresholds ExactlyExact score rows under two stated thresholds.same scored rows under two thresholdsthreshold 1/2score line, threshold 1/201t=1/2A4/5B3/5C2/5D1/5predictions at 1/2rowyscorepredA14/51B03/51C12/50D01/50confusion grid at 1/2cellcountTP1FP1FN1TN1threshold 3/4score line, threshold 3/401t=3/4A4/5B3/5C2/5D1/5predictions at 3/4rowyscorepredA14/51B03/50C12/50D01/50confusion grid at 3/4cellcountTP1FP0FN1TN2same four scored rows; rule is score at least thresholddoes not claim: NOT best threshold; NOT accuracy guaranteeNOT future performance; NOT calibration; NOT fairnessNOT safety; NOT generalization; NOT probability truth

Keep the true labels visible

A and C have y=1. B and D have y=0.

yA=yC=1,yB=yD=0y_A=y_C=1,\quad y_B=y_D=0
Decision Thresholds ExactlyExact score rows under two stated thresholds.same scored rows under two thresholdsthreshold 1/2score line, threshold 1/201t=1/2A4/5B3/5C2/5D1/5predictions at 1/2rowyscorepredA14/51B03/51C12/50D01/50confusion grid at 1/2cellcountTP1FP1FN1TN1threshold 3/4score line, threshold 3/401t=3/4A4/5B3/5C2/5D1/5predictions at 3/4rowyscorepredA14/51B03/50C12/50D01/50confusion grid at 3/4cellcountTP1FP0FN1TN2same four scored rows; rule is score at least thresholddoes not claim: NOT best threshold; NOT accuracy guaranteeNOT future performance; NOT calibration; NOT fairnessNOT safety; NOT generalization; NOT probability truth

The same rows will be reused

Both threshold views use this same pinned row table.

same rows; different threshold marker\text{same rows; different threshold marker}
Decision Thresholds ExactlyExact score rows under two stated thresholds.same scored rows under two thresholdsthreshold 1/2score line, threshold 1/201t=1/2A4/5B3/5C2/5D1/5predictions at 1/2rowyscorepredA14/51B03/51C12/50D01/50confusion grid at 1/2cellcountTP1FP1FN1TN1threshold 3/4score line, threshold 3/401t=3/4A4/5B3/5C2/5D1/5predictions at 3/4rowyscorepredA14/51B03/50C12/50D01/50confusion grid at 3/4cellcountTP1FP0FN1TN2same four scored rows; rule is score at least thresholddoes not claim: NOT best threshold; NOT accuracy guaranteeNOT future performance; NOT calibration; NOT fairnessNOT safety; NOT generalization; NOT probability truth