MANOVA: A Procedure Whose Time Has Passed?

2019 ◽  
Vol 64 (1) ◽  
pp. 56-60 ◽  
Author(s):  
Francis L. Huang
Keyword(s):  
Multivariate Analysis ◽  
Analysis Of Variance ◽  
Research Question ◽  
Statistical Procedure ◽  
Large Majority ◽  
Multivariate Analysis Of Variance ◽  
Dependent Variables ◽  
Research Questions ◽  
Post Hoc ◽  
Published Research

Multivariate analysis of variance (MANOVA) is a statistical procedure commonly used in fields such as education and psychology. However, MANOVA’s popularity may actually be for the wrong reasons. The large majority of published research using MANOVA focus on univariate research questions rather than on the multivariate questions that MANOVA is said to specifically address. Given the more complicated and limited nature of interpreting MANOVA effects (which researchers may not actually be interested in given the actual post hoc strategies employed) and that various flexible and well-known statistical alternatives are available, I suggest that researchers consult these better known, robust, and flexible procedures instead, given the proper match with the research question of interest. Just because a researcher has multiple dependent variables of interest does not mean that a MANOVA should be used at all.

ENTREPRENEURIAL ORIENTATION AND GROWTH POTENTIAL OF MICROENTERPRISES IN NORTHWEST, NIGERIA

2019 ◽  
Vol 24 (02) ◽  
pp. 1950011
Author(s):  
ABUBAKAR S. GARBA ◽  
IBRAHIM KABIR ◽  
MAHMOUD A. MAHMOUD
Keyword(s):  
Multivariate Analysis ◽  
Multiple Regression ◽  
Analysis Of Variance ◽  
Entrepreneurial Orientation ◽  
Growth Potential ◽  
Multivariate Analysis Of Variance ◽  
Dependent Variables ◽  
The Mean ◽  
Mean Differences

The purpose of this study is to explore the entrepreneurial orientation (EO) and growth potential of microenterprises. To test the research hypotheses, multiple regression and multivariate analysis of variance (MANOVA) were used. Multiple regression was used in explaining how well EO predicts microenterprises growth potential. MANOVA compares the groups and indicates whether the mean differences between the groups on the combination of dependent variables are likely to have occurred by chance. Our study contributes to the literature by exploring the growth potential of the existing microenterprises and explains its relationship to owners’ EO in both urban and rural informal sectors.

scholarly journals Wd*-test: Robust Distance-Based Multivariate Analysis of Variance

2018 ◽  
Author(s):  
Bashir Hamidi ◽  
Kristin Wallace ◽  
Chenthamarakshan Vasu ◽  
Alexander V. Alekseyenko
Keyword(s):  
Multivariate Analysis ◽  
Analysis Of Variance ◽  
Multivariate Analysis Of Variance ◽  
General Applicability ◽  
R Language ◽  
Design Variables ◽  
Multi Level ◽  
Post Hoc ◽  
Microbiome Data ◽  
Do So

AbstractBackgroundCommunity-wide analyses provide an essential means for evaluation of the effect of interventions or design variables on the composition of the microbiome. Applications of these analyses are omnipresent in microbiome literature, yet some of their statistical properties have not been tested for robustness towards common features of microbiome data. Recently, it has been reported that PERMANOVA can yield wrong results in the presence of heteroscedasticity and unbalanced sample sizes.FindingsWe develop a method for multivariate analysis of variance, , based on Welch MANOVA that is robust to heteroscedasticity in the data. We do so by extending a previously reported method that does the same for two-level independent factor variables. Our approach can accommodate multi-level factors, stratification, and multiple post hoc testing scenarios. An R language implementation of the method is available at https://github.com/alekseyenko/WdStar.ConclusionOur method resolves potential for confounding of location and dispersion effects in multivariate analyses by explicitly accounting for the differences in multivariate dispersion in the data tested. The methods based on have general applicability in microbiome and other ‘omics data analyses.

scholarly journals Dynamics of a smile in different age groups

2012 ◽  
Vol 83 (1) ◽  
pp. 90-96 ◽  
Author(s):  
Patil Chetan ◽  
Pradeep Tandon ◽  
Gulshan K. Singh ◽  
Amit Nagar ◽  
Veerendra Prasad ◽  
...  
Keyword(s):  
Gender Differences ◽  
Multivariate Analysis ◽  
Analysis Of Variance ◽  
Age Groups ◽  
Dynamic Measurements ◽  
Multivariate Analysis Of Variance ◽  
Upper Lip ◽  
Males And Females ◽  
Post Hoc

Abstract Objective: To evaluate smile in different age groups and to detect gender differences in smile. Materials and Methods: Digital videographic records of 241 randomly selected subjects were obtained for smile analysis. The subjects were divided into four groups by age (15–20 years, 21–30 years, 31–40 years, and 41–50 years). Each group was further subdivided by gender. After 41 subjects were excluded, the smile dimensions of 200 subjects were analyzed by two-way multivariate analysis of variance (MANOVA) with Duncan's multiple range post hoc test. Results: All dynamic measurements (change in upper lip length, upper lip thickness, commissure height, and intercommissural width from rest to smile) decreased with age in both males and females. Changes in upper lip length and commissure height on smiling were greater in males as compared with females of the same age groups. Changes in intercommissural width on smiling were greater in females as compared with males in all age groups. Conclusion: Smile changes with increase in age, and the changes differ between males and females. Females had a wider smile as compared with males of similar age groups.

scholarly journals Multivariate Analysis of Variance (MANOVA) untuk Memperkaya Hasil Penelitian Pendidikan

AKSIOMA ◽  
2018 ◽  
Vol 9 (1) ◽  
pp. 37
Author(s):  
Sutrisno Sutrisno ◽  
Dewi Wulandari
Keyword(s):  
Multivariate Analysis ◽  
Linear Model ◽  
Analysis Of Variance ◽  
General Linear Model ◽  
General Linear ◽  
Multivariate Analysis Of Variance ◽  
Wilks Lambda ◽  
Post Hoc ◽  
One Way Anova

MANOVA merupakan solusi teknik analisis data kuantitatif bagi peneliti di dunia pendidikan yang ingin mengamati hasil belajar peserta didik dalam rangka menerapkan prinsip kebulatan dalam Kurikulum 2013 (prinsip evaluasi hasil belajar meliputi aspek kognitif, afektif, dan psikomotor). MANOVA mampu mengungkapkan perbedaan yang tidak ditampilkan ANOVA secara terpisah, sehingga dapat meningkatkan kesempatan untuk menemukan perubahan sebagai akibat dari perlakuan yang berbeda dan interaksinya. Dengan demikian, temuan hasil penelitian akan semakin kaya dan sangat berguna bagi perkembangan ilmu pengetahuan. Terdapat dua model analisis variansi yaitu model overparameterized dan model rerata sel. Model rerata sel memberikan pendekatan sederhana dan tidak ambigu, yang dapat digunakan pada data seimbang atau data tidak seimbang. Model ini menggunakan kontras untuk menyatakan efek utama dan interaksi. Uji persyaratan MANOVA meliputi uji normalitas multivariat dengan uji Mardia dan uji homogenitas matriks kovariansi dengan uji Box’s M. Terdapat beberapa statistik uji MANOVA yaitu Wilks’ Lambda, Pillai, Lawley-Hotelling, dan Roy’s Largest Root. Ketika hipotesis nol MANOVA ditolak, maka dilanjutkan ANOVA pada setiap variabel terikat. Apabila hipotesis nol ANOVA ditolak dan variabel bebas memiliki lebih dari dua nilai, maka dilakukan uji post hoc dengan metode Scheffe’. Prosedur ini menjaga taraf kesalahan α. Uji komparasi rerata antar sel tidak dapat dilakukan secara langsung menggunakan General Linear Model (GLM) pada SPSS. Prosedur yang dapat dilakukan adalah memanipulasi data dengan merubah kondisi eksperimentasi menjadi nilai-nilai yang dianggap satu variabel bebas, sehingga dapat dianalisis dengan One-Way ANOVA atau GLM. Kesulitan analisis multivariat pada perhitungannya yang terlalu rumit, sudah terpecahkan dengan adanya software statistik yang semakin canggih.Kata kunci: MANOVA, analisis multivariat, memperkaya hasil, penelitian pendidikan

Outcome Variables that Contribute to Group Differences Between Caucasians, African Americans, and Asian Americans who are Deaf

2002 ◽  
Vol 33 (2) ◽  
pp. 8-12 ◽  
Author(s):  
Corey L. Moore
Keyword(s):  
Multivariate Analysis ◽  
Discriminant Analysis ◽  
African Americans ◽  
Analysis Of Variance ◽  
Asian Americans ◽  
Fiscal Year ◽  
Group Differences ◽  
Multivariate Analysis Of Variance ◽  
Research And Practice ◽  
Post Hoc

The purpose of this research was to identify those dimensions of outcome variables (i.e., number of VR services provided, cost of case services, income, and number of hours worked at closure) that make the greatest contribution to group differences between Caucasians, African Americans, and Asian Americans who are deaf. Multivariate analysis of variance (MANOVA) and post hoc descriptive discriminant analysis (DDA) were utilized to evaluate 1,108 case records obtained from the RSA-911 database for fiscal year 1997. DDA results indicated that African-Americans were provided with significantly more VR services and achieved significantly lower levels of income when compared to Caucasians and Asian Americans. Results are presented for the discriminating variables and the implications of findings for research and practice are discussed.

Selflessness in Anorexia Nervosa as Reflected in the Rorschach Comprehensive System

2012 ◽  
Vol 33 (1) ◽  
pp. 78-93 ◽  
Author(s):  
Gili Curiel-Levy ◽  
Laura Canetti ◽  
Esti Galili-Weisstub ◽  
Myrna Milun ◽  
Eitan Gur ◽  
...  
Keyword(s):  
Multivariate Analysis ◽  
Anorexia Nervosa ◽  
Analysis Of Variance ◽  
Clinical Observation ◽  
Comparison Group ◽  
Comprehensive System ◽  
Multivariate Analysis Of Variance ◽  
Rorschach Comprehensive System ◽  
Group A

This study examines the expression of selflessness – the tendency to ignore one’s own needs and serve others’ needs – in Rorschach protocols of women suffering from anorexia nervosa. The protocols of 35 women suffering from anorexia nervosa were compared to 30 protocols of a psychiatric comparison group. A multivariate analysis of variance over five variables (AG, PER, PHR, COP, and GHR) was significant: Anorexic patients showed higher characteristics of selflessness compared to the psychiatric comparison group. These findings contribute to the validation of the Rorschach technique and to the clinical observation of selflessness in anorexic patients, and they emphasize specific characteristics in the treatment of anorexia nervosa patients.

A Controlled Study of Sensation Awareness and Verbal Disclosure for Regulation of Arousal and Anxiety

1992 ◽  
Vol 74 (1) ◽  
pp. 307-320 ◽  
Author(s):  
Stephen R. Scholle
Keyword(s):  
Multivariate Analysis ◽  
Analysis Of Variance ◽  
State Anxiety ◽  
Significant Interaction ◽  
Controlled Study ◽  
Multivariate Analysis Of Variance ◽  
Directed Attention ◽  
Self Talk ◽  
Anxiety Levels

Interactions of attention and verbalization were investigated for effects of self-reported arousal and state-anxiety. Levels of verbalization from silence through talking-without-a-listener to disclosure were compared while self-directed attention was manipulated for sensation versus general thoughts and feelings. Following a stimulus, disclosure of sensations was expected to reduce state anxiety and increase energetic arousal significantly more than disclosure of thoughts. Based on a randomly assigned sample of 120 men, a 3 × 2 × 2 multivariate analysis of variance indicated a significant interaction in the predicted directions. A significant interaction was also found for the 3 × 2 interaction for energetic arousal. For state anxiety means were in the predicted direction. Results indicate that verbalization of sensations is more energizing and calming than silence, while for general thought, silence is more energizing and calming than verbalization. The results suggest efficacy in reframing self-talk to quiet awareness and in communicating sensed distinctions as they emerge.

Extended linear hypotheses and simultaneous tests in multivariate analysis of variance

Biometrika ◽  
1974 ◽  
Vol 61 (3) ◽  
pp. 467-477 ◽  
Author(s):  
G. S. MUDHOLKAR ◽  
M. L. DAVIDSON ◽  
P. SUBBAIAH
Keyword(s):  
Multivariate Analysis ◽  
Analysis Of Variance ◽  
Multivariate Analysis Of Variance

Investigation of Variation in Fatigue Life Calculated Using Damage Fraction

1990 ◽  
Vol 35 (2) ◽  
pp. 35-41
Author(s):  
Clifford T. Gunsallus ◽  
Edward Nagy ◽  
Patrick G. Stennett ◽  
William G. Flannelly
Keyword(s):  
Multivariate Analysis ◽  
Fatigue Life ◽  
Analysis Of Variance ◽  
Multivariate Analysis Of Variance ◽  
Curve Reduction

This paper identifies the leading causes for large variations in the calculated fatigue lives of the hypothetical pitch link experiment of the American Helicopter Society, conducted in cooperation with all U.S. manufacturers of military helicopters. Multivariate Analysis of Variance (MANOVA) is used to show that approximately 85 percent of the variations can be attributed to only two of the five analytical steps involved and the interactions between them. These steps are the method of cycle counting and the amount of S/N curve reduction.

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