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Experiment code
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21.7.3.41 |
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Experiment Title
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Comparative Study of Empirical and Mathematical Approaches for Optimum Plot Size Determination in Marigold |
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Research Type
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Departmental Research |
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Experiment Background
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Marigold (Tagetes spp.) is a commercially important flower crop widely cultivated in South
Gujarat, including Navsari district. It is widely cultivated for loose flowers and garland making.
During the year 2024–25, marigold was cultivated over an area of about 700 ha in Navsari
district, with a total production of 4,467 MT (Director of Horticulture, Gujarat). Despite its
economic importance, no systematic uniformity trials have been conducted to study yield
variability and determine scientifically justified plot size for marigold experiments. Application
of statistical and mathematical approaches such as Fairfield Smith’s Variance law, maximum
curvature method, Mathematical approach for point of maximum curvature and modified
maximum curvature method can provide an objective basis for determining optimum plot size.
Accurate determination of optimum plot size is a fundamental requirement for improving the
precision and reliability of agricultural experiments. Generally, experimental plot sizes for
marigold are decided based on traditional practices or convenience rather than scientific
evidence. Such arbitrary selection of plot size often results in higher experimental error, reduced
precision in treatment comparisons and inefficient utilization of land and resources. |
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Experiment Group
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Social Science |
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Unit Type
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(02)EDUCATION UNIT |
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Unit
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(12)NAVINCHANDRA MAFATLAL COLLEGE OF AGRICULTURE (NAVSARI) |
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Department
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(247)Statistics Department, NMCA, Navsari |
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BudgetHead
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(303/12712/03)303/03/REG/01784 |
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Objective
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1. To determine optimum plot size for marigold using different approaches
2. To compare various methods for optimum plot size
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PI Name
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(NAU-EMP-2025-001990)SEJALBEN DINESHBHAI MUNIYA |
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PI Email
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muniyasejal@nau.in |
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PI Mobile
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8980958757 |
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Year of Approval
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2026 |
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Commencement Year
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2026 |
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Completion Year
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2028 |
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Research Methodology
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Research Design: In the present study uniformity trial will be conducted on marigold
crop (Variety: Punjab Gainda 1). It involves planting an experimental site with a single
crop variety, applying recommended cultural and management practices as uniform as per
possible. The total experimental area will be subdivided into a large number of small,
equal-sized units known as basic units. Flower yield from each basic unit will be recorded
separately.
Sampling Design: -
Data Collection Tools & Techniques: Primary data on flower yield from each basic unit
of the uniformity trial field will be recorded jointly by the Principal Investigator and Co-
Investigator.
Following methods will be used for determining optimum plot size in the present study:
A. Empirical / Graphical Approaches
1. Fairfield Smith’s Variance Law (Smith, H. F., 1938)
2. Maximum Curvature Method (Federer, 1955).
B. Mathematical / Analytical Approaches
3. Mathematical Approach for Point of Maximum Curvature (Patel and Patel, 1968)
4. Modified Maximum Curvature Method (Meier and Lessman, 1971)
The different approaches will be compared based on the estimated optimum plot size and the
most suitable approach will be identified. Finally, an optimum plot size for marigold
experiments will be recommended.
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