Math problems of the day for 10/8/26.

Anas Abdurrahman

Analisis dekomposisi deret waktu produksi air minum PDAM Kabupaten Serang periode Januari 2022–Desember 2024. Analisis mencakup dekomposisi additive dan multiplicative, identifikasi komponen tren, pola musiman, serta perbandingan model berdasarkan simpangan baku residu.

This shows the output of compute_aov_es from the package rwf, which takes a between-subjects aov model, builds its ANOVA table with Type I, II or III sums of squares and adds six effect sizes for every factor and interaction: eta-squared, partial eta-squared, omega-squared, partial omega-squared, epsilon-squared and Cohen’s f. Each section gives the formulas the function uses, computes them by hand and checks the results against effectsize, sjstats, car and compute_one_way_test.

Muhammad Isyra Andika Permana NIM : 3337260080 Kelas : C26

This shows the output of compute_posthoc from the package rwf, which compares every pair of group means after a one-way ANOVA with two post hoc tests: the Tukey-Kramer test (Tukey, 1953; Kramer, 1956), which assumes equal variances, and the Games-Howell test (Games & Howell, 1976), which does not. For each pair of groups the function returns the t statistic, the degrees of freedom and a p value adjusted for all the pairwise comparisons. Each section gives the formulas the function uses, computes them by hand and checks the results against stats, emmeans and rstatix.

This presentation reports the pilot results of a survey, focusing on the quantitative evaluation of content validity. It demonstrates the calculation and interpretation of the Content Validity Ratio (CVR) and Content Validity Index (I-CVI and S-CVI) using R and Quarto. Empirical guidelines from Lawshe (1975), Lynn (1986), and Yusoff (2019) are applied to expert panel ratings to evaluate item-level and scale-level validity.

This shows the output of compute_one_way_test from the package rwf, which runs the one-way analysis of variance for two or more independent groups, either assuming equal variances (Fisher’s F test) or not (Welch’s F test, Welch, 1951). The function returns the sums of squares and mean squares, the F statistic with its degrees of freedom and p value, five effect sizes (eta-squared, partial eta-squared, omega-squared, partial omega-squared and Cohen’s f) and the observed power. Each section gives the formulas the function uses, computes them by hand and checks the results against stats, car, lsr, effectsize, sjstats and pwr.