Transcript SPFE 1.0 - Indian Agricultural Statistics Research Institute

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SPFE 1.0
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INDIAN AGRICULTURAL STATISTICS RESEARCH INSTITUTE, NEW DELHI-110012
Copyright, 2003 © IASRI, Pusa, New Delhi-12, India
INDIAN AGRICULTURAL STATISTICS RESEARCH INSTITUTE, NEW DELHI-110012
SPFE 1.0 Features …
• 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.
INDIAN AGRICULTURAL STATISTICS RESEARCH INSTITUTE, NEW DELHI-110012
SPFE 1.0 Features …
• 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.
INDIAN AGRICULTURAL STATISTICS RESEARCH INSTITUTE, NEW DELHI-110012
SPFE 1.0 Features …
• 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.
INDIAN AGRICULTURAL STATISTICS RESEARCH INSTITUTE, NEW DELHI-110012
SPFE 1.0 Features …
• 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.
INDIAN AGRICULTURAL STATISTICS RESEARCH INSTITUTE, NEW DELHI-110012
SPFE 1.0 Features …
• The package is also useful for teaching the
subject of factorial experiments to the postgraduate students in the class.
• 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-110012
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.
• 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-110012
SPFE 1.0 Features …
• 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.
INDIAN AGRICULTURAL STATISTICS RESEARCH INSTITUTE, NEW DELHI-110012
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 intrablock 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.
INDIAN AGRICULTURAL STATISTICS RESEARCH INSTITUTE, NEW DELHI-110012
Why SPFE …
• 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.
INDIAN AGRICULTURAL STATISTICS RESEARCH INSTITUTE, NEW DELHI-110012
Why SPFE …
• 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.
INDIAN AGRICULTURAL STATISTICS RESEARCH INSTITUTE, NEW DELHI-110012
Main Features of this Indigenous
Software Package …
SPFE 1.0
INDIAN AGRICULTURAL STATISTICS RESEARCH INSTITUTE, NEW DELHI-110012
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-110012
Generation of the design
It includes …
• Complete Factorial without confounding
• Complete Factorial with confounding
• Fractional Factorial Plans
• Balanced Confounded Designs
INDIAN AGRICULTURAL STATISTICS RESEARCH INSTITUTE, NEW DELHI-110012
Generation of the design
• 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.
• Once these options are entered the
design is generated.
INDIAN AGRICULTURAL STATISTICS RESEARCH INSTITUTE, NEW DELHI-110012
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-110012
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-110012
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-110012
Microsoft Visual C++ 6.0
Microsoft Visual Basic 6.0
Microsoft Access 2000
Windows OS
INDIAN AGRICULTURAL STATISTICS RESEARCH INSTITUTE, NEW DELHI-110012
32 Bit Microprocessor
32 Bit Windows OS
16 MB RAM
Standalone Application
No External Dependencies
INDIAN AGRICULTURAL STATISTICS RESEARCH INSTITUTE, NEW DELHI-110012
Randomized Layout of the design
It includes …
• Randomizing the Replications first.
• Followed by randmizing the Blocks
with on Replications.
• Then randomizing the treatment
combinations within Blocks with in
Replication.
INDIAN AGRICULTURAL STATISTICS RESEARCH INSTITUTE, NEW DELHI-110012
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-110012
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-110012
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-110012
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-110012
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-110012
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-110012
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-110012
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-110012
Probability Generation
It includes …
• Probability generation by Chi-Square Distributi
• Probability generation by t Distribution.
• Probability generation by F Distribution.
INDIAN AGRICULTURAL STATISTICS RESEARCH INSTITUTE, NEW DELHI-110012
SPFE 1.0 Cost …
• It is indigenous Software and is not very
expensive.
• Rs. 1000 for NARS
• Rs. 2500 for Others
Plus
Postal Charges …
INDIAN AGRICULTURAL STATISTICS RESEARCH INSTITUTE, NEW DELHI-110012