Table 5: Results of the automatic classification of items (Mokken analysis).

ScaleBrazilian sample (n = 171)German sample (n = 450)
Items (scale)§Loevinger’s H-scoreItems (scale)§Loevinger’s H-score

Scale 1MAQ_M(C)(H = 0.64)MAQ_M(D)(H = 0.57)
MAQ_D(C)(H = 0.64)MAQ_D(D)(H = 0.57)
MAQ_G(C)(H = 0.62)MAQ_H(D)(H = 0.55)
MAQ_H(C)(H = 0.60)MAQ_G(D)(H = 0.52)
MAQ_E(C)(H = 0.59)MAQ_E(D)(H = 0.51)
MAQ_W(C)(H = 0.58)MAQ_W(D)(H = 0.49)
MAQ_H(D)(H = 0.54)MAQ_D(C)(H = 0.46)
MAQ_W(D)(H = 0.50)MAQ_H(C)(H = 0.44)
MAQ_E(D)(H = 0.48)MAQ_E(C)(H = 0.43)
MAQ_M(D)(H = 0.46)MAQ_G(C)(H = 0.42)
MAQ_D(D)(H = 0.43)MAQ_W(C)(H = 0.40)
MAQ_G(D)(H = 0.42)MAQ_M(C)(H = 0.39)

Scale 2MAQ_M(A)(H = 0.61)
MAQ_H(A)(H = 0.54)MAQ_G(A)(H = 0.61)
MAQ_G(A)(H = 0.54)MAQ_D(A)(H = 0.57)
MAQ_D(A)(H = 0.46)MAQ_M(B)(H = 0.53)
MAQ_D(B)(H = 0.43)MAQ_D(B)(H = 0.51)
MAQ_M(A)(H = 0.41)MAQ_G(B)(H = 0.48)
MAQ_M(B)(H = 0.39)MAQ_H(B)(H = 0.45)
MAQ_G(B)(H = 0.37)MAQ_H(A)(H = 0.43)
MAQ_E(B)(H = 0.40)
MAQ_E(A)(H = 0.39)

Scale 3MAQ_W(B)(H = 0.42)
MAQ_W(A)(H = 0.42)MAQ_W(B)(H = 0.30)
MAQ_E(B)(H = 0.37)MAQ_W(A)(H = 0.30)
MAQ_H(B)(H = 0.35)

§Item description is composed of the content of each item, that is: mathematics in general (MAQ_G); easy calculations (MAQ_E); difficult calculations (MAQ_D); written calculations (MAQ_W); mental calculations (MAQ_M); math homework (MAQ_H) and its scale (A), (B), (C), or (D).