SummaryInterrelations between natural arthropod fauna and their environment were studied in 1964 from 165 samples collected from the same number of boxcars each containing about 54 tons of stored grain originating from various parts of Western Canada. Applications of several multivariate procedures, such as principal component and maximum likelihood factor analyses (unrotated, rotated and oblique solutions) were applied to 6 biotic and 3 environmental variates to obtain the clearest picture of interrelations among these variates.Jöreskog’s computational procedure and computer programs were used for unrotated, rotated and oblique maximum likelihood solutions. A 3‐factor hypothesis was developed; of the 3 factors the first 2 were significantly correlated (Correlation coefficient=0.78±0.15). The final confirmatory factor analysis revealed that: 1) the first factor indicates that acarine variates, Glycyphagus and Cheyletus, were correlated positively to each other but negatively with the insect Psocoptera, 2) the second factor indicates that the acarine variate Tarsonemus is correlated to moisture, dockage and the entomological variate Psocoptera, 3) the third factor indicates that the environmental factors are correlated to each other, and 4) the correlations between the third factor and the other factors are statistically different from zero.