Tukey HSD Test
for Post-ANOVA Pair-Wise Comparisons
in a Two-Way ANOVA

---

After performing a two-way analysis of variance, enter the values outlined in red, then click the «Calculate» button. Note that

	#M	=	the number of means in the category to which the analysis applies
and
	Np/M	=	the number of observations per mean

Thus

---

for the row effect:

	#M	=	the number of rows (r)
and
	Np/M	=	the number of observations per row

---

for the column effect:

	#M	=	the number of columns (c)
and
	Np/M	=	the number of observations per column

---

and for the interaction effect:

	#M	=	the number of groups (rc)
and
	Np/M	=	the number of observations per group

---

---

Data Entry

	#M =
	Np/M =
	MSerror =
	dferror =
	HSD.05 = HSD.01 =

---

HSD = the absolute [unsigned] difference between any two means (row means, column means, or cell means) required for significance at the designated level: HSD[.05] for the .05 level; HSD[.01] for the .01 level. The HSD test between row means can be meaningfully performed only if the row effect is significant; between column means, only if the column effect is significant; and between cell means, only if the interaction effect is significant.

---