The phrase "a substantial amount of variance" is correct and usable in written English.
It can be used in contexts where you are discussing differences or changes in data, results, or outcomes, particularly in fields like statistics, research, or analysis.
Example: "The study revealed a substantial amount of variance in the participants' responses, indicating differing levels of engagement."
Alternatives: "a significant degree of variation" or "a considerable amount of difference."
Moreover, the differences between SMI and MMI were negligible (the main effect of imputation method failed to account for a substantial amount of variance in the bias of the subpopulation differences and the regression coefficient β2).
The mean squared multiple correlation is greater than.40 and thus indicates that the variables share a substantial amount of variance with the underlying theoretical construct (Taylor & Todd, 1995), but only 12 of the 36 items show R2 values greater than.50.
The analysis revealed that there was no single factor which explained a substantial amount of variance (the most covariance explained by one factor is only 35%, see the last row of Table 6), which indicates that common method bias does not pose a significant threat to the measurement validity of this study (Chin et al. 2012).
A substantial amount of variance (26%) in infecting parasite communities was explained by variation among collection sites.
Across both groups, subjective norm explained a substantial amount of variance in intention, followed by attitudes.
The model proposes a causal chain of several categories of variables that together explain a substantial amount of variance in environmentally significant behavior.
The results of the regression analysis with health related perceived autonomy being the dependent variable, demonstrated that the background variables and illness and treatment perceptions variables did not explain any substantial amount of variance (adjusted R2 = 3,5%; data not shown).
Overall, subjective well-being measures seem to contain a substantial amount of valid variance; however, of course, the limitations of using such self-reported data need to be kept in mind in the following analysis.
Alternatively, if the vocabulary (accuracy and response time) and writing measures each account for a substantial amount of additional variance in GPA, this would indicate that two complement each other in indexing learner proficiency levels.
Rumination predicted a substantial amount of the variance (between 36 and 50%) of PTSD symptom severity.
Household-level characteristics explained a substantial amount of the variance in HRQOL among middle-aged people in Mid-east China.
