DOI QR코드

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Type I Analysis by Projections

사영에 의한 제1종 분석

  • Received : 20110100
  • Accepted : 20110300
  • Published : 2011.04.30

Abstract

This paper discusses how to get the sums of squares due to treatment factors when Type I Analysis is used by projections for the analysis of data under the assumption of a two-way ANOVA model. The suggested method does not need to calculate the residual sums of squares for the calculation of sums of squares. There-fore, the calculation is easier and faster than classical ANOVA methods. It also discusses how eigenvectors and eigenvalues of the projection matrices can be used to get the calculation of sums of squares. An example is given to illustrate the calculation procedure by projections for unbalanced data.

Keywords

Projection;Type I Analysis;unbalanced data;projection matrix;eigenvector;eigenvalue

References

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Cited by

  1. Variance Components of Nested Designs vol.28, pp.6, 2015, https://doi.org/10.5351/KJAS.2015.28.6.1093
  2. Projection analysis for balanced incomplete block designs vol.26, pp.2, 2015, https://doi.org/10.7465/jkdi.2015.26.2.347
  3. Estimable functions of mixed models vol.29, pp.2, 2016, https://doi.org/10.5351/KJAS.2016.29.2.291
  4. Interblock Information from BIBD Mixed Effects vol.28, pp.2, 2015, https://doi.org/10.5351/KJAS.2015.28.2.151
  5. Type II analysis by projections vol.23, pp.6, 2012, https://doi.org/10.7465/jkdi.2012.23.6.1155
  6. Type III sums of squares by projections vol.25, pp.4, 2014, https://doi.org/10.7465/jkdi.2014.25.4.799
  7. Projection analysis for two-way variance components vol.25, pp.3, 2014, https://doi.org/10.7465/jkdi.2014.25.3.547
  8. The analysis of random effects model by projections vol.26, pp.1, 2015, https://doi.org/10.7465/jkdi.2015.26.1.31

Acknowledgement

Supported by : 계명대학교