# least squares analysis

## least squares analysis

A technique for statistical assessment of data that minimizes the sum of the squares of the distances from each data point to a line or plane. As part of the process, the slope, intercept, and correlation coefficient are also usually calculated. Once this is done, various statistical and analytical inferences can be made, so that the quality of the analytical process can be assessed.
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On this basis, the least squares analysis led us to select a reduced number of significant factors for a better understanding of the global basic foundations of competitiveness linked with the main managerial functions.
To study the effect of species (cattle and buffalo), the period vis-a-vis the season of birth the data generated on male specific breeding soundness traits were subjected to least squares analysis.
The effect of year, season of calving, and parity number on service period and services per conception were worked out by least squares analysis of variance (ANOVA) method using HARVEY-1990 computer software package assuming the following mathematical model:
Advanced Excel I: Least Squares Analysis and Error Propagation, #36
clam Weighted least squares analysis of variance and contrasts (SAS proc CATMOD); details given in note to Table 1.
Appendices include: (1) Cohort Definitions and Descriptive Statistics; (2) Hierarchical Linear Modeling Analysis; (3) Ordinary Least Squares Analysis With School-Level Data; and (4) Differences in College Graduation Rates Compared with Students Not Participating in Advanced Placement.
In over 100 exercises, supported by the accompanying CD-ROM, she describes probability concepts, discrete probability distributions, continuous probability distributions, mathematical expectation, limit theorems, transitions to statistics, estimating theory, hypothesis testing theory, order statistics and quantiles, permutation analysis, bootstrap analysis, multiple sample analysis, linear least squares analysis and contingency truth analysis.
Prince and Nicholson showed for single crystal diffraction that the impact of individual reflections may be assessed statistically using standard least squares analysis .
Using partial least squares analysis to analyze CPA responses to a survey instrument, the results of this study indicate that perceived district strictness has a limited but significant effect on intent to increase effort, as well as a significant effect on both cognitive and affective attitude toward risk taking.
When applying the linear least squares analysis to Eq 8, it is assumed that the error is constant or randomly distributed.
Linear regression lines were calculated via least squares analysis and drawn for each data set.
To test the direction of influence between campaign news and trust in government across educational levels, each two-stage least squares analysis was run separately among the more educated and the less educated group.
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