The aim of this course is to deliver the applicable knowledge about Statistics and Experimental Design, which can apply in different fields of study and to develop a skills on the data collection from a designed experiment, description measures of data, interpretation of results, and decision making.
Contents
Principles of Design of Experiments. Analysis of variance and its assumptions. Cochran theorem. Fixed, random and mixed effect models.Effect of violation of assumptions and transformations.Completely Randomized, Randomized Complete Block, Latin square,Graeco-Latin square and cross-over designs. Missing observations. Relative efficiency of designs. Estimation of mean squares and their expectations.Multiple Comparisons.Analysis of covariance in CR, RCB designs. Estimation of missing values in analysis of covariance.
Reading Texts:
Distribution of Marks:
Mid Exam: 30
Final exam: 50
Sessional (Assignment,Presentation,Participation,Attendance,Quizes) 20
Scheduled on:
BS V Regular : Monday (11:00- 12:30) Tuesday (11:00- 12:30) Wednesday (11:00- 12:00)
BS V SS : Tuesday (12:30-2:00) Wednesday (12:30-2:00) Thursday (12:30-1:30)
Week |
Topics to be covered |
book |
|
---|---|---|---|
1 |
Experimental design (an introduction), Main Steps in designing an Experiment, |
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2 |
Basic Principles of Experimental Design |
Montgomery |
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3 |
One way ANOVA Two way ANOVA |
Montgomery |
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4 |
Multiple Comparison Tests |
Montgomery |
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5 |
Completely Randomized Design Estimation of parameters of model |
Montgomery |
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6 |
Portioning of toal sum of square, Expected value of different sum of squares. |
Montgomery |
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7 |
Expected value of different sum of squares Missing values in CRD |
Montgomery |
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8 |
Randomized Complete Block Design Estimation of parameters of model |
Montgomery |
|
9 |
Partitioning of total sum of square in RCBD, Expected value of different sum of squares in RCBD. |
Montgomery |
|
10 |
Expected value of different sum of squares in RCBD Missing values in RCBD |
Montgomery |
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11 |
Missing values in RCBD |
Montgomery |
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12 |
Latin Square Design (LSD) Estimation of parameters of model |
Montgomery |
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13 |
Partitioning of total sum of square in LSD, Expected value of different sum of squares in LSD.
|
Montgomery |
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14 |
Expected value of different sum of squares in LSD Missing values in LSD |
Montgomery |
|
15 |
Graeco Latin Square Design Cross Over Design |
Montgomery |
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16 |
Analysis of Covariance (ANCOVA)
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Montgomery |