Balanced subsampling in single-factor experiments using InfoStat and InfoGen: validation with SAS

Authors

  • Andrés González-Huerta Centro de Investigación y Estudios Avanzados en Fitomejoramiento-Facultad de Ciencias Agrícolas-Universidad Autónoma del Estado de México. Campus Universitario ‘El Cerrillo’, El Cerrillo Piedras Blancas, Toluca, Estado de México, México. AP. 435. Tel. 722 2965531, ext. 148.
  • Delfina de Jesús Pérez-López Centro de Investigación y Estudios Avanzados en Fitomejoramiento-Facultad de Ciencias Agrícolas-Universidad Autónoma del Estado de México. Campus Universitario ‘El Cerrillo’, El Cerrillo Piedras Blancas, Toluca, Estado de México, México. AP. 435. Tel. 722 2965531, ext. 148.
  • Artemio Balbuena-Melgarejo Centro de Investigación y Estudios Avanzados en Fitomejoramiento-Facultad de Ciencias Agrícolas-Universidad Autónoma del Estado de México. Campus Universitario ‘El Cerrillo’, El Cerrillo Piedras Blancas, Toluca, Estado de México, México. AP. 435. Tel. 722 2965531, ext. 148.
  • J. Ramón Pascual Franco-Martínez Centro de Investigación y Estudios Avanzados en Fitomejoramiento-Facultad de Ciencias Agrícolas-Universidad Autónoma del Estado de México. Campus Universitario ‘El Cerrillo’, El Cerrillo Piedras Blancas, Toluca, Estado de México, México. AP. 435. Tel. 722 2965531, ext. 148.
  • Francisco Gutiérrez-Rodríguez Centro de Investigación y Estudios Avanzados en Fitomejoramiento-Facultad de Ciencias Agrícolas-Universidad Autónoma del Estado de México. Campus Universitario ‘El Cerrillo’, El Cerrillo Piedras Blancas, Toluca, Estado de México, México. AP. 435. Tel. 722 2965531, ext. 148.
  • José Antonio Rodríguez-González Posgrado en Ciencias Agropecuarias y Recursos Naturales-Universidad Autónoma del Estado de México.

DOI:

https://doi.org/10.29312/remexca.v14i2.3418

Keywords:

free statistical packages, matrix algebra, sampling error in experimental designs, sum of squares in trials with subsampling

Abstract

Even today there is little published information regarding the analysis of single-factor experiments when an equal number of subsamples are used within each experimental unit. This study analyzes male flowering data recorded in four varieties of corn (Zea mays L.) established under field conditions using four repetitions per treatment, 30 data were recorded within each experimental unit, but for the present study only three of these are considered. The experimental designs selected were completely randomized, randomized complete blocks and Latin square. The outputs were obtained with InfoStat and correspond to an analysis of variance and a comparison of means of treatments with the Tukey test (p= 0.01), and these can also be generated with InfoGen applying the same procedure. The data leading to both results were used for manual calculations and the results are validated with the statistical analysis system. Because the data are the same, the sampling error is common in the three experimental designs and it is shown how to obtain the joint error, the difference between the two generates the experimental error. To simplify the procedure on the personal computer, a single database is produced. Only for the case of the Latin square design, the matrix expressions that allow homologating the manual calculation with sums of squares in the analysis of variance are provided. If the secondary objective were to compare the three experimental designs, the statistical support generated by them would allow it, in a single run using SAS and individually for each design applying InfoStat and InfoGen.

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Published

2023-03-22

How to Cite

González-Huerta, Andrés, Delfina de Jesús Pérez-López, Artemio Balbuena-Melgarejo, J. Ramón Pascual Franco-Martínez, Francisco Gutiérrez-Rodríguez, and José Antonio Rodríguez-González. 2023. “Balanced Subsampling in Single-Factor Experiments Using InfoStat and InfoGen: Validation With SAS”. Revista Mexicana De Ciencias Agrícolas 14 (2). México, ME:235-49. https://doi.org/10.29312/remexca.v14i2.3418.

Issue

Vol. 14 No. 2 (2023)

Section

Articles

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