Multivariate Analysis of Variance: Single Factor, Factorial, and Repeated Measures Designs

2016 ◽  
pp. 183-286
Keyword(s):  
Multivariate Analysis ◽  
Analysis Of Variance ◽  
Repeated Measures ◽  
Single Factor ◽  
Multivariate Analysis Of Variance ◽  
Repeated Measures Designs

Repeated-Measures Designs: Univariate or Multivariate Analysis of Variance?

1997 ◽  
Vol 85 (1) ◽  
pp. 193-194
Author(s):  
Peter Hassmén
Keyword(s):  
Multivariate Analysis ◽  
Analysis Of Variance ◽  
Repeated Measures ◽  
Type I Error ◽  
Univariate Analysis ◽  
Type I ◽  
Multivariate Analysis Of Variance ◽  
Repeated Measures Analysis ◽  
Alpha Level ◽  
Repeated Measures Designs

Violation of the sphericity assumption in repeated-measures analysis of variance can lead to positively biased tests, i.e., the likelihood of a Type I error exceeds the alpha level set by the user. Two widely applicable solutions exist, the use of an epsilon-corrected univariate analysis of variance or the use of a multivariate analysis of variance. It is argued that the latter method offers advantages over the former.

scholarly journals Repeated measures in randomized block and split-plot experiments

1993 ◽  
Vol 23 (4) ◽  
pp. 625-639 ◽  
Author(s):  
M.L. Gumpertz ◽  
C. Brownie
Keyword(s):  
Multivariate Analysis ◽  
Analysis Of Variance ◽  
Loblolly Pine ◽  
Repeated Measures ◽  
Univariate Analysis ◽  
Complete Analysis ◽  
Phosphorus Fertilization ◽  
Multivariate Analysis Of Variance ◽  
Repeated Measures Data ◽  
Split Plot

Randomized block and split-plot designs are among the most commonly used experimental designs in forest research. Measurements for plots in a block (or subplots in a whole plot) are correlated with each other, and these correlations must be taken into account when analyzing repeated-measures data from blocked designs. The analysis is similar to repeated-measures analysis for a completely randomized design, but test statistics must allow for random block × time effects, and standard errors for treatment means must also incorporate block to block variation and variation among plots within a block. Two types of statistical analysis are often recommended for repeated-measures data: analysis of contrasts of the repeated factor and multivariate analysis of variance. A complete analysis of repeated measures should usually contain both of these components, just as in univariate analysis of variance it is often necessary to decompose the main effects into single degree of freedom contrasts to answer the research objectives. We demonstrate the multivariate analysis of variance and the analysis of contrasts in detail for two experiments. In addition, estimation of coefficients assuming a polynomial growth curve is discussed in detail for one of these experiments. The first experiment, a randomized complete block design, is a forest nutrition study of the long-term effects of midrotation nitrogen and phosphorus fertilization on loblolly pine (Pinustaeda L.); the second experiment, a split-plot design, is an air-pollution study of the effects of ozone and acid precipitation on loblolly pine growth.

Freudian Symbols on Sexual and Creative Aspects of Stories

1998 ◽  
Vol 82 (3) ◽  
pp. 1059-1072
Author(s):  
Constance J. Larson
Keyword(s):  
College Students ◽  
Multivariate Analysis ◽  
Analysis Of Variance ◽  
Repeated Measures ◽  
Univariate Analysis ◽  
Visual Presentation ◽  
Pairwise Comparisons ◽  
Sexual Content ◽  
Multivariate Analysis Of Variance

Sexual content and creativity of stories and story titles was investigated. 96 college students responded to visual presentation of instances of theoretical Freudian symbols. Analyses subjected responses to a 2 (sex) × 2 (symbol) × 2 (mode) × 6 (subscales) analysis of variance with repeated measures on subscales and to multivariate analysis of variance procedures with four dependent measures. These showed men wrote masculine stories and women wrote feminine stories. Certain subscales were more sensitive to sexual content than others. Pairwise comparisons between the subscales among instances of symbols emerged as significant. In addition, subjects exposed to Male symbols wrote stories containing greater latent sexual content than subjects exposed to Female symbols. Creativity of story tides was evident only on a univariate analysis of variance.

scholarly journals Pengaruh Implementasi Pembelajaran Saintifik Berbasis Keterampilan Belajar dan Berinovasi 4C terhadap Percaya Diri dan Kemampuan Membaca Pemahaman

2020 ◽  
pp. 76-84
Author(s):  
Muhamad R Letasado ◽  
Julhidayat Muhsam
Keyword(s):  
Multivariate Analysis ◽  
Analysis Of Variance ◽  
Random Sampling ◽  
Independent Group ◽  
Single Factor ◽  
Multivariate Analysis Of Variance ◽  
Group Design ◽  
Quasi Experiment

Penelitian ini bertujuan untuk mengetahui pengaruh pembelajaran saintifik berbasis keterampilan belajar dan berinovasi 4C terhadap percaya diri dan kemampuan membaca pemahaman siswa kelas V SD Lab Undiksha Singaraja. Penelitian ini menggunakan metode eksperimen kuasi (quasi experiment) dengan menggunakan rancangan penelitian Single Factor Independent Group Design. Populasi penelitian sebanyak 78 siswa. 39 siswa ditetapkan sebagai sampel, yang ditarik dengan teknik random sampling, pengumpulan data dalam penelitian ini menggunakan metode tes objektif. Data dianalisis menggunakan multivariate analysis of variance (MANOVA). Hasil penelitian ini menunjukan bahwa: (1) terdapat pengaruh implementasi pembelajaran saintifik berbasis keterampilan belajar dan berinovasi 4C terhadap percaya diri siswa. (2) terdapat pengaruh implementasi pembelajaran saintifik berbasis keterampilan belajar dan berinovasi 4C terhadap kemampuan membaca pemahaman siswa. (3) terdapat pengaruh implementasi pembelajaran saintifik berbasis keterampilan belajar dan berinovasi 4C secara simultan terhadap percaya diri dan kemampuan membaca pemahaman siswa.

Articulation Development in Preschool Children

1986 ◽  
Vol 29 (1) ◽  
pp. 29-36 ◽  
Author(s):  
Kathryn W. Kenney ◽  
Elizabeth M. Prather
Keyword(s):  
Multivariate Analysis ◽  
Preschool Children ◽  
Analysis Of Variance ◽  
Repeated Measures ◽  
Multivariate Analysis Of Variance ◽  
Two Factors ◽  
Main Effects

The purpose of this study was to describe the consistency of productions of /θ, r, l, s, ∫, t∫, f, t, k/ in releasing and arresting position for 2 ½- to 5-year-old children. The Coarticulation Assessment in Meaningful Language (Kenney & Prather, 1984) was given to 360 children, 60 at each of six age levels. A four-way multivariate analysis of variance with repeated measures on the last two factors was used to test for main effects and interactions among age, sex, phoneme, and position. These children produced /θ, ∫, t∫, l, f/ with greater accuracy in the releasing position, but articulated /k, s, t/ at similar levels of accuracy in both positions. They produced /r/ with greater accuracy as a vocalic allophone. Further patterns and interactions are discussed.

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