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Analysis of Variance

In: Foundations of Biostatistics

Author

Listed:
  • M. Ataharul Islam

    (University of Dhaka, ISRT)

  • Abdullah Al-Shiha

    (College of Science, King Saud University, Department of Statistics and Operations Research)

Abstract

The basic concepts and models of analysis of variance are introduced in this chapter. This chapter includes self-explanatory discussion on both one-way and two-way classifications. For both one-way and two-way analysis of variance, the models and assumptions, the analysis of variance techniques, decomposition of total sum of squares, pooled estimate of variance, mean squares, and tests of the equality of treatment means are discussed elaborately. The analysis of variance tables is shown. The computational techniques are illustrated with examples. The estimation of the differences between the treatment means, separation of means, and pairwise comparisons are also illustrated in this chapter. The Fisher’s least significant difference method is shown with example.

Suggested Citation

  • M. Ataharul Islam & Abdullah Al-Shiha, 2018. "Analysis of Variance," Springer Books, in: Foundations of Biostatistics, chapter 0, pages 345-371, Springer.
    • Handle: RePEc:spr:sprchp:978-981-10-8627-4_10
    DOI: 10.1007/978-981-10-8627-4_10
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