INDIAN AGRICULTURAL STATISTICS RESEARCH INSTITUTE, NEW DELHI-110012 Copyright, 2003 © IASRI, Pusa, New Delhi-12, India SPFE 1.0 0 0 0 0 0 0 0 0 0 1 0 0

INDIAN AGRICULTURAL STATISTICS RESEARCH INSTITUTE, NEW DELHI-110012Copyright, 2003 © IASRI, Pusa, New Delhi-12, India

SPFE 1.0SPFE 1.0

0 0 0 0 0

0 0 0 0 1

0 0 0 1 0

. . .

. . .

. . .

1 1 1 1 1

INDIAN AGRICULTURAL STATISTICS RESEARCH INSTITUTE, NEW DELHI-110012


SPFE 1.0 Features …SPFE 1.0 Features …

• Generates the randomized layout of the designs, with or Generates the randomized layout of the designs, with or without confounding for symmetrical and asymmetrical without confounding for symmetrical and asymmetrical factorial experiments.factorial experiments.

• The users have to define the set of The users have to define the set of independent interactions to be confounded independent interactions to be confounded and then the design gets generated.and then the design gets generated.



• Different sets of interactions and different number of Different sets of interactions and different number of independent interactions may be confounded in different independent interactions may be confounded in different replications.replications.

• The package is also capable of generating The package is also capable of generating regular fractional factorialplans for regular fractional factorialplans for symmetrical factorial experiments.symmetrical factorial experiments.



• It also gives the analysis of the data It also gives the analysis of the data generated from these designed experiments.generated from these designed experiments.

• For the analysis, the treatment For the analysis, the treatment combinations are written in lexicographic combinations are written in lexicographic order and renumbered from 1 to N, where order and renumbered from 1 to N, where N is the total number of treatment N is the total number of treatment combinations in the experiment.combinations in the experiment.



• The data generated are analyzed as per the usual The data generated are analyzed as per the usual procedure of designs for single factor experiments.procedure of designs for single factor experiments.

• Contrast analysis is then carried out to Contrast analysis is then carried out to obtain the sum of squares due to main obtain the sum of squares due to main effects and interactions. A null hypothesis effects and interactions. A null hypothesis on any contrast of interest can also be on any contrast of interest can also be tested. The user has to define such tested. The user has to define such contrasts.contrasts.



• The package is also useful for teaching the subject of The package is also useful for teaching the subject of factorial experiments to the post-graduate students in the factorial experiments to the post-graduate students in the class.class.

• This can be useful for the researchers in This can be useful for the researchers in Statistics with interest in experimental Statistics with interest in experimental designs particularly in factorial designs particularly in factorial experiments.experiments.



• It is user-friendly, interactive and password protected It is user-friendly, interactive and password protected software. It is completely menu-driven and can also be software. It is completely menu-driven and can also be operated using the ToolBars of SPFE.operated using the ToolBars of SPFE.

• Complete Help with Index, Contents and Complete Help with Index, Contents and Search facility is available. The package Search facility is available. The package can be run without the aid of a manual.can be run without the aid of a manual.



• The package is completely Standalone and is compatible The package is completely Standalone and is compatible with the Latest Technologies. It runs on WINDOWS with the Latest Technologies. It runs on WINDOWS Platform.Platform.

• Besides the features listed above, the Besides the features listed above, the package also works as an Editor with package also works as an Editor with limited facilities viz. Open, save and print limited facilities viz. Open, save and print files, cut, copy, paste the text; undo the files, cut, copy, paste the text; undo the last action, etc.last action, etc.


Why SPFE …Why SPFE …• If the number of factors or levels increases , the number of If the number of factors or levels increases , the number of

treatment combinations increases too rapidly. As a result block treatment combinations increases too rapidly. As a result block size becomes large and it is not possible to maintain size becomes large and it is not possible to maintain homogeneity with in the blocks. This may result in large intra-homogeneity with in the blocks. This may result in large intra-block variances and hence large coefficient of variation.block variances and hence large coefficient of variation.

• To avoid that we use the concept of To avoid that we use the concept of Confounding but again the generation of Confounding but again the generation of designs may be a problem and it is designs may be a problem and it is mathematically complicated. mathematically complicated.


Why SPFE …Why SPFE …

• Obtaining the randomized layout of the Obtaining the randomized layout of the design may be the another problem.design may be the another problem.

• The experimenter may also have a fear in The experimenter may also have a fear in mind regarding the analysis of data mind regarding the analysis of data generated from these designs and then generated from these designs and then interpreting results. interpreting results.


Why SPFE …Why SPFE …

• Keeping these problems in mind this Keeping these problems in mind this package has been developed.package has been developed.

• Users /experimenters will not have to seek Users /experimenters will not have to seek any help in selecting, generating, any help in selecting, generating, randomizing the design or analyzing the randomizing the design or analyzing the data generated. data generated.


Main Features of this Main Features of this Indigenous Software Package Indigenous Software Package ……

SPFE 1.0SPFE 1.0


Main Features Main Features

Includes …

•Generation of selected design

• Randomized layout of the design

•Analysis of the data and

• Probability calculation


Generation of the design Generation of the design

It includes …

• Fractional Factorial Plans

• Complete Factorial with confounding

• Complete Factorial without confounding

• Balanced Confounded Designs



• Once these options are entered the design is generated.

• When the option Complete Factorial without confounding is selected, the user is asked to enter of Factors(n), the number of levels of each Factor(s) and the number of replications (r) required.



• When the option Complete Factorial with confounding is selected, the user is prompted to enter the number of factors , the number of levels of each factor, the number of replications, the number of independent interactions to be confounded per replication and then the independent interaction to be confounded .



•The option fractional factorial plan gives regular fractional factorial only after getting n and s.

•The fractional factorial are restricted for main effects and two factor interactions.



• Selection of option (iv) provides a list of commonly used balanced confounded designs. It has a facility of displaying the generated design and its randomized layout.


SPFE

Microsoft Visual C++ 6.0Microsoft Visual Basic 6.0Microsoft Access 2000Windows OS


SPFE

32 Bit Microprocessor 32 Bit Windows OS 16 MB RAM Standalone Application No External Dependencies


Randomized Layout of the Randomized Layout of the design design

It includes …

• Followed by randmizing the Blocks with on Replications.

• Randomizing the Replications first.

• Then randomizing the treatment combinations within Blocks with in Replication.


Analysis Analysis

It includes …

•Single Factor

•Multiple Factor

•Main Effects and Interactions

•Single df Contrasts

•User Defined Contrast

•Look Up Table


Analysis Analysis

It includes …

Each of the Options Single Factor as well as Multiple Factor has two sub options

- Unblocked Design

- Block Design


Analysis Analysis

It includes …

• It provides the Analysis of Variance (ANOVA) tables for testing the null hypothesis regarding the equality of treatment or treatment and block effects along the probability level of significance.


Analysis Analysis

It includes …

• It also gives the value of coefficient of determination, Root mean square error and General Mean.


Analysis Analysis It includes …

• Treatment Means And Their Standard ErrorsAll possible Pairwise Treatment Comparisons Prob>F (v v matrix with diagonal elements as . and off-diagonal elements as exact level of significance of the equality of corresponding treatment effects)The critical differences at 1 % and 5% level of significance are also displayed if the treatments are equireplicated (in case of unblocked designs) and equireplicated within each block in case of blocked designs. In other words, critical differences are displayed for balanced and orthogonal data only.


Analysis Analysis

It includes …

• For Multiple Factor Experiments

• Based on the number of Factors and Levels, the contrast for main effects and interactions are then generated.


Analysis Analysis

It includes …

• The sum of squares of main effects and interactions are then obtained along with the probability level of significance.

• It package is also capable of generating the Single degree of freedom contrasts for various factorial effects using the orthogonal polynomials.


Analysis Analysis

It includes …

•The contrasts are quite useful for interpreting the results for quantitative factors when the levels are equi-spaced..•The sum of squares and variances due to each of these contrasts are given. Moreover it also tests the significance of user-defined contrasts.


Probability Generation Probability Generation

It includes …

• Probability generation by t Distribution.

• Probability generation by Chi-Square Distribution.

• Probability generation by F Distribution.


SPFE 1.0 Cost …SPFE 1.0 Cost …

• It is indigenous Software and is not very It is indigenous Software and is not very expensive.expensive.

• Rs. 1000 for NARSRs. 1000 for NARS

• Rs. 2500 for OthersRs. 2500 for Others

PlusPlus

Postal Charges …Postal Charges …

Documents

INDIAN AGRICULTURAL STATISTICS RESEARCH INSTITUTE, NEW DELHI-110012 Copyright, 2003 © IASRI, Pusa, New Delhi-12, India SPFE 1.0 0 0 0 0 0 0 0 0 0 1 0 0