Relative power of moderated multiple regression and the comparison of subgroup correlation coefficients for detecting moderating effects.

1994 ◽  
Vol 79 (3) ◽  
pp. 354-359 ◽  
Author(s):  
Eugene F. Stone-Romero ◽  
Lance E. Anderson
1994 ◽  
Vol 20 (1) ◽  
pp. 167-178 ◽  
Author(s):  
Eugene F. Stone-Romero ◽  
George M. Alliger ◽  
Herman Aguinis

Monte Carlo simulation procedures were used to assess the power of moderated multiple regression ( MMR) to detect the effects of a dichotomous moderator variable under conditions of: ( 1) between- group differences in within-group relationships between two variables ( i.e., |ρ XY(1) -ρ XY(2) |= .20, .40, .60) ; ( 2) different combined sample sizes for the two groups ( N1 + N2 = NT = 30, 60, 90, 180, 300); and ( 3) differing proportions of cases ( P-i) in the two groups ( i.e., P 1 = .10, .30, .50). Results showed that, consistent with our a priori predictions, the power of MMR increased as: ( 1) total sample size ( NT) increased; ( 2) the difference between within-group correlation coefficients increased; and ( 3) the difference between the proportion of cases in each group decreased. Moreover, the simulation showed that these three variables had interactive effects on power. The major implication of our findings is that in cases where tests of moderating effects are conducted with MMR and the proportion of cases in each group differs greatly, inferences of no moderating effect may be erroneous: Such inferences may be the result of low statistical power rather than the absence of a moderating effect.


2008 ◽  
Vol 22 (4) ◽  
pp. 415-424 ◽  
Author(s):  
James A. DiGabriele

SYNOPSIS: This paper presents the results of a moderated multiple regression analysis to show that, all else held equal, a positive premium exists in the valuation of S corporations over C corporations from January 2000 to November 2006. The results of the regression show that the magnitude of the “S corporation premium” indeed depends on the level of interactions of several independent variables. In particular, the results of this study reveal that (1) the premium depends positively on net sales; (2) the premium is higher for the cases in which the transaction is done through asset sales (rather than stock sales); and (3) the premium is higher for the cases in which firms are bought by private buyers (rather than public buyers).


2021 ◽  
Vol 106 (3) ◽  
pp. 467-475
Author(s):  
Jeffrey B. Vancouver ◽  
Bruce W. Carlson ◽  
Lindsay Y. Dhanani ◽  
Cassandra E. Colton

2002 ◽  
Vol 95 (1) ◽  
pp. 323-325 ◽  
Author(s):  
Richard L. Gajdosik ◽  
Ann K. Williams

The maximal passive ankle dorsiflexion angle and the maximal passive resistive torque at this angle were measured for 81 women 20 to 84 years of age and correlated with the passive-elastic stiffness (stiffness) of an ankle dorsiflexion stretch. Pearson correlation coefficients and multiple regression analyses were used to examine whether the two clinical measurements could predict ankle stiffness. The maximal passive resistive torque showed a moderate correlation with stiffness in the full stretch range ( r = .69) and high correlation with stiffness in the last half of the full stretch range ( r = .84). The maximal dorsiflexion angle showed a low correlation with stiffness in the full stretch range ( r = .27) and in the last half of the full stretch range ( r = .36). The maximal passive resistive torque and the dorsiflexion angle together accounted for 54% of the stiffness variance in the full stretch range and 76% of the stiffness variance in the last half of the full stretch range. Thus, the clinical measurements of the maximal passive dorsiflexion angle and the maximal passive resistive torque were directly and significantly related to the ankle dorsiflexion passive-elastic stiffness and good predictors of stiffness in the last half of the passive ankle dorsiflexion stretch.


2017 ◽  
Vol 7 (1) ◽  
pp. 265 ◽  
Author(s):  
Ryan J. McGill

Previously, Evans and colleagues (2001) utilized simultaneous multiple regression to examine relations between Cattell-Horn-Carroll (CHC; Schneider & McGrew, 2012) broad and narrow cognitive abilities and reading achievement across the school age span. Although their findings suggest that many broad/narrow abilities had clinically significant effects on reading achievement they failed to account for the potential moderating effects of the general factor. To account for these effects, the current study employed hierarchical multiple regression analysis to reexamine the relationships between CHC dimensions and reading achievement after controlling for the effects of the general factor with 4,722 participants ages 6-18 from the Woodcock Johnson III Psychoeducational Battery (WJ III; Woodcock, McGrew, & Mather, 2001a). Results from the present study indicate that the full scale GIA composite (as a proxy for g) consistently accounted for large effects across the school age span for all of the reading achievement variables that were assessed. Among the broad and narrow abilities, only Gc consistently accounted for meaningful proportions of reading scores beyond g. As a consequence, researchers are encouraged to give greater consideration to the dimensionality of broad and narrow CHC measures when examining cognitive-achievement relationships or they may risk over-interpreting the predictive effects associated with these indices. Potential implications for clinical application of CHC theory are also discussed.


1988 ◽  
Vol 46 (1) ◽  
pp. 29-34 ◽  
Author(s):  
E. R. Ørskov ◽  
G. W. Reid ◽  
M. Kay

ABSTRACTFive different straws consisting of two varieties of winter barley, two varieties of spring barley and one variety of winter wheat were chosen due to differences in degradation characteristics determined by using nylon bags incubated in the rumen of cattle and describing the straw using the equation: p = a + b (1 – e–ct). To increase variation in degradability, batches of the same straws were also treated with anhydrous ammonia in a sealed oven.The straws were subsequently offered ad libitum to groups of steers given a daily supplement of 1·5 kg concentrate and untreated straws were supplemented with urea. The dry-matter intake (DMI) of the straws varied from 3·4 to 5·7 kg/day, the digestible DMI from 1·4 to 3·5 kg/day and growth rate from 106 to 608 g/day.By using multiple regression of a, b, c from the exponential equations characterizing degradability of the straw, the correlation coefficients with DMI, digestible DMI and growth rate were 0·88, 0·96 and 0·95 respectively.


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