Bandingkan kaedah
Semak kaedah pilihan anda secara bersebelahan; baris yang berbeza akan diserlahkan.
| Regresi Linear Berganda Pelbagai Pemboleh Ubah× | Ujian T² Hotelling× | Regresi Kuasa Dua Terkecil Biasa (OLS)× | |
|---|---|---|---|
| Bidang≠ | Statistik | Statistik | Ekonometrik |
| Keluarga≠ | Regression model | Hypothesis test | Regression model |
| Tahun asal≠ | 2007 | 1931 | 2019 |
| Pengasas≠ | Johnson & Wichern (textbook treatment); classical multivariate least squares | Harold Hotelling | Wooldridge (textbook treatment); classical least squares |
| Jenis≠ | Multivariate linear regression | Multivariate parametric mean comparison | Linear regression |
| Sumber perintis≠ | Johnson, R. A. & Wichern, D. W. (2007). Applied Multivariate Statistical Analysis (6th ed.). Pearson. ISBN: 978-0131877153 | Hotelling, H. (1931). The Generalization of Student's Ratio. Annals of Mathematical Statistics, 2(3), 360–378. link ↗ | Wooldridge, J. M. (2019). Introductory Econometrics: A Modern Approach (7th ed.). Cengage Learning. ISBN: 978-1337558860 |
| Alias≠ | multivariate multiple regression, MLR with multiple dependent variables, multiple-outcome regression, Çok Değişkenli Regresyon (MLR — Çoklu DV) | Hotelling T² Testi — Çok Değişkenli t-Testi, multivariate t-test, Hotelling T-squared | ordinary least squares, classical linear regression, linear regression, en küçük kareler regresyonu |
| Berkaitan≠ | 5 | 6 | 5 |
| Ringkasan≠ | Multivariate regression is a linear regression method that predicts several continuous dependent variables at the same time from a shared set of predictors. As developed in standard treatments such as Johnson and Wichern's Applied Multivariate Statistical Analysis (2007), each response equation can be fitted by ordinary least squares while the covariance structure of the residuals is used for joint testing across outcomes. | Hotelling's T² test is a multivariate parametric hypothesis test that simultaneously compares the mean vectors of two independent groups across multiple continuous outcome variables. It was introduced by Harold Hotelling in 1931 as the direct multivariate generalization of Student's t-test, replacing the scalar mean difference with a vector difference scaled by the pooled variance-covariance matrix. | Ordinary Least Squares is the classical linear regression method that explains a continuous outcome as a linear combination of predictors. It estimates the coefficients by minimising the sum of squared residuals, and under the Gauss-Markov assumptions these estimates are the best linear unbiased estimator (BLUE). |
| ScholarGateSet data ↗ |
|
|
|