Power analysis in designing an experiment: The effect of acoustic treatments on mung beans

Nurul Ain Hazirah Abdullah, Khatijahhusna Abd Rani, Aishah Mohd Noor, Mohd Hafiz Fazalul Rahiman

Abstract


Recently, acoustic treatments have become an attention in agricultural studies. Many researchers found that acoustic treatments can be a supplemental factor in enhancing plant growth. However, the researches on this field have been mostly restricted to find the significant effect of their studies. Although extensive researches have been carried out, few studies do not report the sample size used in their experiment. Hence, this study will emphasise on the application of power analysis in the phase of designing an experiment which focus on the experiment to find the effect of acoustic treatments on mung beans. This paper presents a step-by-step guide to find the minimum number of sample size needed to conduct the experiment and how retrospective power analysis is calculated specifically for the data analysis using multivariate analysis of variance (MANOVA). Based on this study, the minimum total sample size estimated to conduct this experiment is 120 to 216. Upon conducting the experiment, the retrospective power is 97.3% and the effect size is 0.096. The effect size obtained can be a reference parameter for future experiment.

Keywords


Power analysis; Design of experiment; Acoustic treatments

Full Text:

PDF

References


W. Cai, N. T. Dunford, N. Wang, S. Zhu, and H. He, “Audible sound treatment of the microalgae Picochlorum oklahomensis for enhancing biomass productivity,†Bioresour. Technol., vol. 202, pp. 226–230, 2016, doi: https://doi.org/10.1016/j.biortech.2015.12.019.

L. Qi, G. Teng, T. Hou, B. Zhu, and X. Liu, “Influence of Sound Wave Stimulation on the Growth of Strawberry in Sunlight Greenhouse,†HAL, vol. 317, no. 317, pp. 0–7, 2014.

R. Z. Alavijeh, O. Sadeghipour, H. Riahi, and S. V. Dinparvar, “The Effect of Sound and Music on Some Physiological and Biochemical Traits, Leaf Nutrient Concentration and Grain Yield of Cowpea,†IIOAB J., vol. 7, no. 2, pp. 447–458, 2016.

B. Ming-e, J. Shi-ren, L. Nan, H. Li-xing, and H. Wen-bin, “Effect of Insect Acoustic and Music Acoustic Frequency on The Growth of 6 Kinds of Vegetables,†Agric. Sci. Technol., vol. 11, no. 3, pp. 90–93, 2010.

W. Cai, S. Zhu, W. Ning, H. He, and B. Ying, “Design of an experimental platform to investigate the effects of audible sounds on plant growth,†Int. J. Agric. Biol. Eng., vol. 8, no. 5, pp. 162–169, 2015, doi: https://doi.org/10.3965/j.ijabe.20150805.1556.

J. Cohen, Statistical Power Analysis for the Behavioral Sciences, 2nd ed. New York, US: Lawrence Erlbaum Associates, 1988.

A. Nair, “Augmentation of Experimental Design Using Statistical Power,†Rochester Institute of Technology, 2016.

D. Kelly, “Statistical Power Analysis for Sample Size Estimation & Understanding Risks in Experiments,†pp. 822–825, 2015.

G. P. Quinn, M. J. Keough, P. S. Petraitis, G. P. Quinn, and M. J. Keough, Experimental design and data analysis for biologists, vol. 277, no. 2. 2002.

F. Faul, E. Erdfelder, A.-G. Lang, and A. Buchner, “G*Power 3: a flexible statistical power analysis program for the social, behavioral, and biomedical sciences.,†Behav. Res. Methods, 2007.

J. Charan and T. Biswas, “How to calculate sample size requirements,†Indian J Psycol Med., vol. 34, no. 2, pp. 121–6, 2013, doi: https://doi.org/10.4103/0253-7176.116232.

S. Chartier and J. F. Allaire, “Power Estimation in Multivariate Analysis of Variance,†Tutor. Quant. Methods Psychol., vol. 3, no. 2, pp. 70–78, 2007, doi: https://doi.org/10.20982/tqmp.03.2.p070.

N. A. H. Abdullah, A. M. Noor, M. H. F. Rahiman, and K. A. Rani, “Multivariate analysis of variance followed by descriptive discriminant analysis: An analysis of the acoustic treatments effect on mung beans’ growth,†2018, p. 020012, doi: 10.1063/1.5054211.

J. M. Hoenig and D. M. Heisey, “The Abuse of Power : The Pervasive Fallacy of Power Calculations for Data Analysis,†Am. Stat., vol. 55, no. 1, pp. 1–6, 2001, doi: https://doi.org/10.1198/000313001300339897.

X. Fan and T. R. Konold, “Statistical Significance Versus Effect Size,†Int. Encycl. Educ., pp. 444–450, 2010.




DOI: http://dx.doi.org/10.26555/konvergensi.v0i0.22113

Refbacks

  • There are currently no refbacks.


View My Stats JIM