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Analysis of Data from Designed Experiments

Descriptive Statistics 

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Example : An  experiment  was  conducted  to  study  the  hybrid seed  production of  bottle gourd (Lagenaria siceraria (Mol) Standl)   Cv.  Pusa  hybrid-3   under open field conditions  during Kharif-2005  at Indian Agricultural Research Institute, New Delhi . The main aim of the investigation was to compare  natural  pollination {the male flowers pinched from the seed parent  before the  anthesis regularly with utmost care to avoid the chance selfing. The pollination is carried out by the natural pollinating  agent}  and hand pollination  {the male flowers also pinched  from the seed parent before the anthesis regularly. The  female buds are covered  with butter  paper bag  which contain  5-6 tiny hole to  felicitate the ventilation and  to  avoid t he  built  up  of high temperature in size the  butter paper  bag. The butter paper bag is clipped/stippled. On the same  day  the male bud at pollen  parent (male plant)  are  also covered  with butter paper bag. On the next day the male bud are removed and the anthers are rubbed gently over  all the three lobes. The  female flower is again covered with butter paper bag and label is placed over the peduncle of  pollinated female flower  (plate 4, 5, 6 &7). The pollination is performed at noon (1-3pm)} under field conditions. The  data  were collected  on 10  randomly  selected  plants from each  of  natural pollination and  hand pollination on number of fruit set for the period of 45 days, fruit weight (kg), seed yield per plant (g) and seedling length (cm). The data obtained is as given below:

Group

No. of fruit

Set (45days)

Fruit weight (kg)

Seed yield/plant (g)

Seedling length (cm)

1

7.0

1.85

147.70

16.86

1

7.0

1.86

136.86

16.77

1

6.0

1.83

149.97

16.35

1

7.0

1.89

172.33

18.26

1

7.0

1.80

144.46

17.90

1

6.0

1.88

138.30

16.95

1

7.0

1.89

150.58

18.15

1

7.0

1.79

140.99

18.86

1

6.0

1.85

140.57

18.39

1

7.0

1.84

138.33

18.58

2

6.3

2.58

224.26

18.18

2

6.7

2.74

197.50

18.07

2

7.3

2.58

230.34

19.07

2

8.0

2.62

217.05

19.00

2

8.0

2.68

233.84

18.00

2

8.0

2.56

216.52

18.49

2

7.7

2.34

211.93

17.45

2

7.7

2.67

210.37

18.97

2

7.0

2.45

199.87

19.31

2

7.3

2.44

214.30

19.36

MS-EXCEL DATA FILE  

 

{Here 1 denotes natural pollination and 2 denotes the hand pollination}

(The data received from Dr. B. S. Tomar, Division of Seed Science and Technology, IARI, New Delhi is duly acknowledged.)

 

1.       Obtain mean, standard deviation, minimum and maximum values of all the characters.

2.       Obtain mean, standard deviation, minimum and maximum values of all the characters for each  group separately.

3.       Obtain mean, median, coefficient of skewness, coefficient of kurtosis of all the characters.

4.       Obtain mean, median, coefficient of skewness, coefficient of kurtosis of all the characters for each of the group separately.

5.       Test whether the data follows a normal distribution or not for all the characters? Do it separately for each of the two groups.

6.       Prepare a discrete frequency table for all the characters for the above data on group.

7.       Prepare 2-way frequency table between group and fruit set after 45 days.

8.       Create a stem and leaf plot and box plot for all the characters.

9.       Create a stem and leaf plot and box plot for all the characters for each group separately.

10.   Make the grouped frequency distribution by dividing the data on seed yield per plant in 10 classes  135-145, 145-155, 155-165, 165-175, 175-185, 185-195, 195-205, 205-215, 215-225, 225-235 with upper limits exclusively and their frequencies.

11.   Prepare a histogram for the grouped frequency distribution on seed yield per plant in question number 10.

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Descriptive Statistics
Tests of Significance
Correlation and Regression
Completely Randomised Design
RCB Design
Incomplete Block Design
Resolvable Block Design
Augmented Design
Latin Square Design
Factorial RCB Design
Partially Confounded Design
Factorial Experiment with Extra Treatments
Split Plot Design
Strip Plot Design
Response Surface Design
Cross Over Design
Analysis of Covariance
Diagnostics and Remedial Measures
Principal Component Analysis
Cluster Analysis
Groups of Experiments
Non-Linear Models
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Other Designed Experiments
    
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For exposure on SAS, SPSS, 
MINITAB, SYSTAT and
 
MS-EXCEL for analysis of data from designed experiments:

 Please see Module I of Electronic Book II: Advances in Data Analytical Techniques

available at Design Resources Server

(www.iasri.res.in/design)