Hi Miller,   "This sentence is extremely difficult to understand." Sorry to not be clear enough and to make the mentioned sentence extremely difficult to understand. I don't know about the distribution of the errors but I can check that and I will. Should I use a factorial test (any specific?) and then run an ANOVA using a parametric test and check the distribution of the errors?   Fabricio. ... View more

Sorry about the mess in the previous post... here is how we would like to see the data:   Substrate     Fungus 1    Fungus 2    D5                  33 Aa         28 Ab    D10                29 Aa         27 Ba    D15                23 Ba         22 Ca   Uppercase letter in the column (Fungus 1 by varying the substrate and Fungus 2 by varying the substrate). Lowercase letter in the rows (Fungus 1 and Fungus 2 in the same substrate).   Thanks again! Fabricio. ... View more

First of all, thank you for a quick reply. Questions: - Do you have replications? If so, what is your experimental design (e.g., completely randomized, split-plot)? The experimental design is a completely randomized and each treatment have 10 replicates, ie., 3 different substrates * 2 different fungi = 6 treatments * 10 replicates = 60 experimental units. - What is your response variable, and what sort of values does it take? The response variable is the mushroom yield, i.e, the percentage of mushroom (kg of mushroom/kg of the substrate * 100). The values are presented in percentage. - Why do you think you need a nonparametric test? Because by using a Shapiro-Wilk test seems to be a not normal distribution and I tried using the ANOVA and Tukey test. Since the Tukey test is used for a parametric test I'm not sure how or which test can be used to verify the data normality for 2 x 3 factorial design and if the dataset is not normal what Post hoc test I can use for a factorial design and nonparametric. I would like to discuss the data in that way if it is possible: *Substrate Fungus 1 Fungus 2* D5 33 Aa 28 Ab D10 29 Aa 27 Ba D15 23 Ba 22 Ca Uppercase letter in the column (*Fungus 1* by varying the substrate and *Fungus 2* by varying the substrate). Lowercase letter in the rows (*Fungus 1* and *Fungus 2* in the same substrate). PS: Here is how the dataset looks like: Substrates Fungus Mush. Yield D5 F1 39.76 D5 F1 34.18 D5 F1 33.76 D5 F1 33.52 D5 F1 30.96 D5 F1 35.85 D5 F1 35.35 D5 F1 27.18 D5 F1 32.35 D5 F1 30.52 D5 F2 33.91 D5 F2 33.75 D5 F2 33.27 D5 F2 36.48 D5 F2 25.77 D5 F2 21.60 D5 F2 35.93 D5 F2 31.71 D5 F2 30.90 D5 F2 35.38 D10 F1 31.40 D10 F1 33.17 D10 F1 22.27 D10 F1 23.15 D10 F1 34.10 D10 F1 30.58 D10 F1 30.62 D10 F1 31.48 D10 F1 32.37 D10 F1 44.06 D10 F2 21.68 D10 F2 16.73 D10 F2 21.10 D10 F2 20.24 D10 F2 22.37 D10 F2 15.73 D10 F2 23.00 D10 F2 21.56 D10 F2 21.60 D10 F2 28.27 D15 F1 32.42 D15 F1 27.46 D15 F1 32.22 D15 F1 15.78 D15 F1 31.40 D15 F1 28.87 D15 F1 25.47 D15 F1 34.32 D15 F1 19.03 D15 F1 20.68 D15 F2 20.01 D15 F2 27.36 D15 F2 7.78 D15 F2 16.50 D15 F2 18.47 D15 F2 19.96 D15 F2 15.90 D15 F2 18.76 D15 F2 27.55 D15 F2 20.46 Thanks again! Best, Fabricio. ... View more