विधियों की तुलना करें
चुनी हुई विधियों की आमने-सामने समीक्षा करें; भिन्नता वाली पंक्तियाँ रेखांकित हैं।
| अवरुद्ध पूर्ण फैक्टोरियल प्रयोग× | आंशिक गुणनखंड प्रयोग× | |
|---|---|---|
| क्षेत्र | प्रयोगात्मक अभिकल्प | प्रयोगात्मक अभिकल्प |
| परिवार | Process / pipeline | Process / pipeline |
| उद्भव वर्ष≠ | 1935 (Fisher); systematized through 20th-century DOE literature | 1945 (Finney); broader development 1950s–1970s by Box, Hunter |
| प्रवर्तक≠ | R. A. Fisher (blocking principle); full factorial DOE tradition | D. J. Finney (formal development); foundations in Ronald Fisher's factorial design work |
| प्रकार≠ | Experimental design | Quantitative experimental design |
| मौलिक स्रोत≠ | Montgomery, D. C. (2017). Design and Analysis of Experiments (9th ed.). Wiley. ISBN: 978-1119113478 | Box, G. E. P., Hunter, J. S., & Hunter, W. G. (2005). Statistics for Experimenters: Design, Innovation, and Discovery (2nd ed.). Wiley-Interscience. ISBN: 978-0471718130 |
| उपनाम | blocked full factorial design, full factorial with blocking, complete factorial blocked design, BFF design | fractional factorial design, FFD, 2^(k-p) design, fractional replication |
| संबंधित | 4 | 4 |
| सारांश≠ | A blocked full factorial experiment tests every combination of all factor levels while grouping experimental runs into homogeneous blocks to isolate a known nuisance variable. This design preserves the power to detect all main effects and interactions of the factors of interest while preventing batch-to-batch, day-to-day, or machine-to-machine variability from inflating experimental error. | A fractional factorial experiment is a resource-efficient experimental design that tests only a carefully chosen fraction of all possible factor-level combinations. By exploiting the principle that high-order interactions are usually negligible, it identifies the main effects and low-order interactions of k factors using far fewer runs than a full factorial design — making it the workhorse of industrial and engineering screening experiments. |
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