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

INDIAN AGRICULTURAL STATISTICS RESEARCH INSTITUTE, NEW DELHI

SPFE 1.0 Features … Generates the randomized layout of the designs, with or without confounding for symmetrical and asymmetrical factorial experiments.Generates the randomized layout of the designs, with or without confounding for symmetrical and asymmetrical factorial experiments. The users have to define the set of independent interactions to be confounded and then the design gets generated.The users have to define the set of independent interactions to be confounded and then the design gets generated.

INDIAN AGRICULTURAL STATISTICS RESEARCH INSTITUTE, NEW DELHI SPFE 1.0 Features … Different sets of interactions and different number of independent interactions may be confounded in different replications.Different sets of interactions and different number of independent interactions may be confounded in different replications. The package is also capable of generating regular fractional factorialplans for symmetrical factorial experiments.The package is also capable of generating regular fractional factorialplans for symmetrical factorial experiments.

INDIAN AGRICULTURAL STATISTICS RESEARCH INSTITUTE, NEW DELHI SPFE 1.0 Features … It also gives the analysis of the data generated from these designed experiments.It also gives the analysis of the data generated from these designed experiments. For the analysis, the treatment combinations are written in lexicographic order and renumbered from 1 to N, where N is the total number of treatment combinations in the experiment.For the analysis, the treatment combinations are written in lexicographic order and renumbered from 1 to N, where N is the total number of treatment combinations in the experiment.

INDIAN AGRICULTURAL STATISTICS RESEARCH INSTITUTE, NEW DELHI SPFE 1.0 Features … The data generated are analyzed as per the usual procedure of designs for single factor experiments.The data generated are analyzed as per the usual procedure of designs for single factor experiments. Contrast analysis is then carried out to obtain the sum of squares due to main effects and interactions. A null hypothesis on any contrast of interest can also be tested. The user has to define such contrasts.Contrast analysis is then carried out to obtain the sum of squares due to main effects and interactions. A null hypothesis on any contrast of interest can also be tested. The user has to define such contrasts.

INDIAN AGRICULTURAL STATISTICS RESEARCH INSTITUTE, NEW DELHI SPFE 1.0 Features … The package is also useful for teaching the subject of factorial experiments to the post- graduate students in the class.The package is also useful for teaching the subject of factorial experiments to the post- graduate students in the class. This can be useful for the researchers in Statistics with interest in experimental designs particularly in factorial experiments.This can be useful for the researchers in Statistics with interest in experimental designs particularly in factorial experiments.

INDIAN AGRICULTURAL STATISTICS RESEARCH INSTITUTE, NEW DELHI SPFE 1.0 Features … It is user-friendly, interactive and password protected software. It is completely menu-driven and can also be operated using the ToolBars of SPFE.It is user-friendly, interactive and password protected software. It is completely menu-driven and can also be operated using the ToolBars of SPFE. Complete Help with Index, Contents and Search facility is available. The package can be run without the aid of a manual.Complete Help with Index, Contents and Search facility is available. The package can be run without the aid of a manual.

INDIAN AGRICULTURAL STATISTICS RESEARCH INSTITUTE, NEW DELHI SPFE 1.0 Features … The package is completely Standalone and is compatible with the Latest Technologies. It runs on WINDOWS Platform.The package is completely Standalone and is compatible with the Latest Technologies. It runs on WINDOWS Platform. Besides the features listed above, the package also works as an Editor with limited facilities viz. Open, save and print files, cut, copy, paste the text; undo the last action, etc.Besides the features listed above, the package also works as an Editor with limited facilities viz. Open, save and print files, cut, copy, paste the text; undo the last action, etc.

INDIAN AGRICULTURAL STATISTICS RESEARCH INSTITUTE, NEW DELHI Why SPFE … If the number of factors or levels increases, the number of treatment combinations increases too rapidly. As a result block size becomes large and it is not possible to maintain homogeneity with in the blocks. This may result in large intra- block variances and hence large coefficient of variation.If the number of factors or levels increases, the number of treatment combinations increases too rapidly. As a result block size becomes large and it is not possible to maintain homogeneity with in the blocks. This may result in large intra- block variances and hence large coefficient of variation. To avoid that we use the concept of Confounding but again the generation of designs may be a problem and it is mathematically complicated.To avoid that we use the concept of Confounding but again the generation of designs may be a problem and it is mathematically complicated.

INDIAN AGRICULTURAL STATISTICS RESEARCH INSTITUTE, NEW DELHI Why SPFE … Obtaining the randomized layout of the design may be the another problem.Obtaining the randomized layout of the design may be the another problem. The experimenter may also have a fear in mind regarding the analysis of data generated from these designs and then interpreting results.The experimenter may also have a fear in mind regarding the analysis of data generated from these designs and then interpreting results.

INDIAN AGRICULTURAL STATISTICS RESEARCH INSTITUTE, NEW DELHI Why SPFE … Keeping these problems in mind this package has been developed.Keeping these problems in mind this package has been developed. Users /experimenters will not have to seek any help in selecting, generating, randomizing the design or analyzing the data generated.Users /experimenters will not have to seek any help in selecting, generating, randomizing the design or analyzing the data generated.

INDIAN AGRICULTURAL STATISTICS RESEARCH INSTITUTE, NEW DELHI Main Features of this Indigenous Software Package … SPFE 1.0

INDIAN AGRICULTURAL STATISTICS RESEARCH INSTITUTE, NEW DELHI Main Features Includes … Generation of selected design Randomized layout of the design Analysis of the data and Probability calculation

INDIAN AGRICULTURAL STATISTICS RESEARCH INSTITUTE, NEW DELHI Generation of the design It includes … Fractional Factorial Plans Complete Factorial with confounding Complete Factorial without confounding Balanced Confounded Designs

INDIAN AGRICULTURAL STATISTICS RESEARCH INSTITUTE, NEW DELHI Generation of the design 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.

INDIAN AGRICULTURAL STATISTICS RESEARCH INSTITUTE, NEW DELHI Generation of the design 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.

INDIAN AGRICULTURAL STATISTICS RESEARCH INSTITUTE, NEW DELHI Generation of the design 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.

INDIAN AGRICULTURAL STATISTICS RESEARCH INSTITUTE, NEW DELHI Generation of the design 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.

INDIAN AGRICULTURAL STATISTICS RESEARCH INSTITUTE, NEW DELHI SPFE Microsoft Visual C Microsoft Visual Basic 6.0 Microsoft Access 2000 Windows OS Microsoft Visual C Microsoft Visual Basic 6.0 Microsoft Access 2000 Windows OS

INDIAN AGRICULTURAL STATISTICS RESEARCH INSTITUTE, NEW DELHI SPFE 32 Bit Microprocessor 32 Bit Windows OS 16 MB RAM Standalone Application No External Dependencies 32 Bit Microprocessor 32 Bit Windows OS 16 MB RAM Standalone Application No External Dependencies

INDIAN AGRICULTURAL STATISTICS RESEARCH INSTITUTE, NEW DELHI Randomized Layout of the 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.

INDIAN AGRICULTURAL STATISTICS RESEARCH INSTITUTE, NEW DELHI Analysis It includes … Single Factor Multiple Factor Main Effects and Interactions Single df Contrasts User Defined Contrast Look Up Table

INDIAN AGRICULTURAL STATISTICS RESEARCH INSTITUTE, NEW DELHI Analysis It includes … Each of the Options Single Factor as well as Multiple Factor has two sub options - Unblocked Design - Block Design

INDIAN AGRICULTURAL STATISTICS RESEARCH INSTITUTE, NEW DELHI 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.

INDIAN AGRICULTURAL STATISTICS RESEARCH INSTITUTE, NEW DELHI Analysis It includes … It also gives the value of coefficient of determination, Root mean square error and General Mean.

INDIAN AGRICULTURAL STATISTICS RESEARCH INSTITUTE, NEW DELHI Analysis It includes … Treatment Means And Their Standard Errors  All 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.

INDIAN AGRICULTURAL STATISTICS RESEARCH INSTITUTE, NEW DELHI 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.

INDIAN AGRICULTURAL STATISTICS RESEARCH INSTITUTE, NEW DELHI 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.

INDIAN AGRICULTURAL STATISTICS RESEARCH INSTITUTE, NEW DELHI 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.

INDIAN AGRICULTURAL STATISTICS RESEARCH INSTITUTE, NEW DELHI Probability Generation It includes … Probability generation by t Distribution. Probability generation by Chi-Square Distribution. Probability generation by F Distribution.

INDIAN AGRICULTURAL STATISTICS RESEARCH INSTITUTE, NEW DELHI SPFE 1.0 Cost … It is indigenous Software and is not very expensive.It is indigenous Software and is not very expensive. Rs for NARSRs for NARS Rs for OthersRs for OthersPlus Postal Charges …