Design and Analysis of Experiments
Indian Institutes of Technology
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Design and Analysis of Experiment - Statistics
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---12december 2022
- We consider the models which are used in designing an experiment. The experimental conditions,
experimental setup and the objective of the study primarily determine what type of design is to
be used and hence which type of design model can be used for the further statistical analysis to
conclude about the decisions. These models are based on o
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buddhi
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College aantekeningen
Fractional Replications
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---10december 20222021/2022
- Consider the set-up of a complete factorial experiment, say 2k. If there are four factors, then the total 
number of plots needed to conduct the experiment is 4 2 16. When the number of factors increases to 
six, then the required number of plots to conduct the experiment becomes 6 2 64 and so on. 
Moreover, the number of treatment combinations also becomes large when the number of factors 
increases.
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buddhi
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College aantekeningen
Chapter 03 - Experimental Design Models
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---34december 20222021/2022
- We consider the models which are used in designing an experiment. The experimental conditions, 
experimental setup and the objective of the study primarily determine that what type of design is to 
be used and hence which type of design model can be used for the further statistical analysis to 
conclude about the decisions. These models are based on one-way classification, two-way 
classifications (with or without interactions), etc. We discuss them now in detail in a few setups 
which can be ex...
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buddhi
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College aantekeningen
Chapter 05 - Incomplete Block Designs
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---44december 20222021/2022
- The completely 
randomized design and randomized block design may not be suitable in such situations because they will 
require a large number of experimental units to accommodate all the treatments. In such cases, when the 
a sufficient number of homogeneous experimental units are not available to accommodate all the treatments 
in a block, then incomplete block designs can be used.
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buddhi
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College aantekeningen
Chapter 08 - Factorial Experiments
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---19december 20222021/2022
- Factorial experiments involve simultaneously more than one factor and each factor is at two or more 
levels. Several factors affect simultaneously the characteristic under study in factorial experiments and 
the experimenter is interested in the main effects and the interaction effects among different factors.
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buddhi
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College aantekeningen
Chapter 12 - Analysis of Covariance
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---14december 20222021/2022
- Any scientific experiment is performed to know something that is unknown about a group of treatments 
and to test certain hypothesis about the corresponding treatment effect. 
When variability of experimental units is small relative to the treatment differences and the experimenter 
do not wishes to use experimental design, then just take large number of observations on each 
treatment effect and compute its mean. The variation around mean can be made as small as desired by 
taking more observat...
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buddhi
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College aantekeningen
Chapter 04 - Experimental Designs and Their Analysis
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---29december 20222021/2022
- Design of experiment means how to design an experiment in the sense that how the observations or 
measurements should be obtained to answer a query in a valid, efficient and economical way. The designing 
of the experiment and the analysis of obtained data are inseparable. If the experiment is designed properly 
keeping in mind the question, then the data generated is valid and proper analysis of data provides the valid 
statistical inferences. If the experiment is not well designed, the validit...
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buddhi
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College aantekeningen
Chapter 02 - General Linear Hypothesis and Analysis of Variance
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---44december 20222021/2022
- The same linear model is used in the linear regression analysis as well as in the analysis of variance. 
So it is important to understand the role of a linear model in the context of linear regression analysis 
and analysis of variance
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buddhi
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College aantekeningen
Chapter 07 - Partially Balanced Incomplete Block Design (PBIBD)
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---24december 20222021/2022
- The balanced incomplete block designs have several advantages. They are connected designs as well 
as the block sizes are also equal. A restriction on using the BIBD is that they are not available for all 
parameter combinations.
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buddhi