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1. 1 INTRODUCTION The detail of how to use the Multipurpose Sample Generator MSG 1 0 0 software to generate random numbers and random samples of different forms is presented 2 HOME The home page contains the title bar the menu bars and a brief description of the software developers authors Apart from the home page the menu bars provide the links to Random Number Simple Random Sampling and Stratified Random Sampling generation procedures which are the major tasks performed by the MSG package Also the menu bar has a link to view the user s manual and another one that provides detail address of the developers 3 RANDOM NUMBERS Random numbers are numbers that evolve randomly by chance factor whose values can fall within a specified range of interest and their formation lacks any specific pattern 3 1 Random Numbers Generator To generate a set of random numbers using MSG software the user is required to click Random Number on the menu bar and specify the range within which the random numbers should be generated using the From and To boxes The user may specify a combination of numbers between 0 and 9 combination of characters from A to Z either lower or upper be generated _ The number of samples to gener the user would click on the Generate button to view the random numbers generated A dialogue box carrying the message Genera
2. SIMPLE RANDOM SAMPLING The simplest form of sampling is the simple random sampling SRS It is a sampling technique in which a subset of individuals or units a sample is randomly selected from a larger set population such that all members in the sample set has equal chance probability of being chosen into that set As defined by Moore and McCabe 2006 and Moore 2007 a simple random sample of size n consists of individuals from the population chosen in such way that every set of individuals has an equal chance to be in the sample actually selected 41 Simple Random Sample Generator Two forms of simple random samples can be genera selected have numerical representations Here all the elements in the population are assigned a sequence of numbers that uniquely identify them with a difference of one unit between the successive number labels such as 1 2 N being the total number of units in the population A simple random sample of size n lt N can then be drawn from such a sequence of numbers while the sampling units carrying the selected number labels constitute the required sample from such population The second form is generate SRS from a population whose elements have alpha numeric pure character representations i Numeric SRS Generator To generate numeric simple random sample the user is required to click on the Simple Random Sampling option on the menu bar From the left panel
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4. in the user s program menu Click on this icon to launch the MSG software The MSG 1 0 0 setup can be downloaded free at www unilorin edu ng CITATION INFORMATION Any user of the MSG software for research purposes should reference the software using the following format Yahya W B and Muhammed M 2014 MSG A Multipurpose Sample Generator for generating random samples of different forms Department of Statistics University of Ilorin Nigeria http www unilorin edu ng Table of Contents 1 INTRODUCTION tthe eb taco iden heed 4 2 was Gein ae Se Oe BAe 4 3 RANDOM 4 2 1 Random Numbers Generator edo tion ee 4 4 SIMPLE RANDOM SAMPLING 5 3 1 Simple Random Sample Generator 5 5 STRATIFIED RANDOM SAMPLING 4 1 Stratified Random Sample Generator 6 CONCLUSION REFERENCES
5. can as well be used to generate SRS from populations that contain only numeric sampling units of any form of sequence 5 STRATIFIED RANDOM SAMPLING Stratified random sampling is a variation of random partitioned into h homogenous sub groups called strata inferences about the population In computational statistics stratified sampling technique is employed to enhance the efficiency of the statistics computed from the sample data and reduce the sampling error A major advantage of stratified random sampling is that of being the most representative of a gt population Sarndal et al 2003 4 5 1 Stratified Random Sample Generator Like in the SRS two forms of the stratified random samples can be generated using MSG software These are numeric and alpha numeric stratified random samples To use the numeric stratified random samples interface of the MSG software all members in the population from which the sample is to be selected within each stratum must have numerical representations in the form of sequence of number labels that uniquely identify them as described in Section 3 1 for SRS generator The alpha numeric stratified random samples generator interface generates stratified random samples from a population whose elements have alpha numeric or pure character representations within each stratum i Numeric Stratified Random Sample Generator To generate numeric stratified random sample the user is required to
6. ces MPN Waheed Babatunde Yahya Ph D Mahmud Muhammed USER S MANUAL D tt ef et et et he St i St lt lt lt lt lt lt lt 3 lt MULTIPURPOSE SAMPLE GENERATOR MSG VERSION 1 0 0 A Statistical Software For Generating Random Samples of Different Forms Developed by Waheed Babatunde Yahya Ph D Mahmud Muhammed Department of Statistics University of Ilorin PMB 1515 Jlorin Nigeria E mail woyahya unilorin edu ng mahmud4hadji gmail com USER S MANUAL PREAMBLE This manual presents how to use Multipurpose Sample Generator MSG version 1 0 0 to generate random samples of different forms for further statistical analyses and usage SYSTEM REQUIREMENTS AND INSTALLATION The MSG software can be installed on any 32 or 64 bits windows XP windows Vista windows 7 and 8 operating systems A minimum of 512MB of RAM and at least 1GB hard disc space is required for optimal performance In addition the system must have foxit reader installed on it before the user can access the manual The foxit reader setup can be downloaded free at To install MSG 1 0 0 simply double click on the MSG setup file a windows installer would pop up click next to proceed select users Just Me or Everyone and choose installation folder click next to finalize your installation After the installation the shortcut to MSG icon will be deposited on the desktop and
7. click on the Stratified Random Sampling option on the menu bar From the left panel labeled With Numbers select the stratum from 6 which the random samples are to be generated among the five options Stratum 1 to Stratum 5 on the interface and specify the range within which the random samples should be selected using the From and To boxes Click on Add button to send the numbers within the specified range into the data panel Specify the number of samples n to be generated in the Count box and click on the Generate button to generate the required samples for that stratum Repeat this process to generate samples from other strata If more than five strata are desired simply click on clear option beside the data panel of strata 1 to clear the initial data and repeat the above process beginning from this stratum to make up to the number of strata desired Other steps on how to view and print the results generated as provided in Section 3 1 then follow from here Character or Alpha Numeric Stratified Random Sample Generator For data set that contains characters or combinations of characters and numbers alpha numeric select the stratum from which the random samples be generated among the five options Stratum 1 to Stratum 5 on the With Characters interface and enter the data through the Data panel A click on the Add button would store the data inp
8. l these shall constitute part of the improvement that would be implemented by the next version of the software MSG 1 0 1 Users of the current version MSG 1 0 0 are therefore enjoined to forward their suggestions and comments that would improve the subsequent versions of the software to the developers using the e mail addresses provided Like the Super QC software Yahya and Adeniyi 2012 the MSG software can be freely accessed and downloaded at www unilorin edu ng REFERENCES 1 2 3 4 5 6 7 8 Hunt and Tyrrell 5 2001 Stratified Sampling Cov Accessed on 12 July 2012 Microsoft Visual Studio 2010 Microsoft cooper soft com Moore 0 5 2007 The Basic Practice of tion Freeman Moore D S and McCabe to the Practice of Statistics 5th Edition Freeman S rndal C Swensson B and Wretman J 2003 Stratified Sampling In Model Assisted Survey Sampling New York Springer pp 100 109 ISBN 0 387 40620 4 Walker J 2 Random Numbers Retrieved 2009 06 27 Starnes D S 2008 The Practice of Statistics 379 Ed 7309 Yahya yi A 2012 Super QC Pack A novel Statistical Software for analysing Control Data Annals Computer
9. labeled With Numbers specify the range within which the random samples should be selected using the From and To boxes This range is the interval of the sequence of number codes used to represent the original sampling units in the population The number of samples n to be generated should be specified in the Count box after which the user would click on the Generate button to generate the required samples Other steps on how to view and print the results generated as provided in Section 3 1 then follow from here ii Character Alpha Numeric SRS Generator For data set that contains characters combinations of characters and numbers alpha numeric the user is required to input the data into the Input Data box on the With Characters interface of the MSG software A click on the Add button would store the data inputted into to the Data panel after which the next data entry can be made again through the Input Data box This process would continue until the last data point in the population is entered All the data entry can be viewed by clicking on the scroll arrow on the Data panel Specify the number of samples to be selected in the Count box and click on the Generate button to generate the required samples Other steps on how to view and print the results generated as presented in Section 3 1 then follow from here However it should be noted that this interface
10. ted Successfully would appear immediately after the MSG has completed the process of generating the required random numbers and it would disappear by clicking the OK button on this box The random numbers generated results would be displayed on the output box A click on the Save button would automatically save this result after which the results would be re displayed on the right panel of the MSG page A click on the Print button would send this result to the selected printer A click on the Refresh button would clear this result from the panel For users of MS office 2013 version a click on the Export button would export this result into My Document directory of the computer system as a Microsoft Excel file with Comma Separated Values csv extension For users of lower versions of MS office the default printer of the computer system has to be changed to either OneNote or Microsoft XPS or Xml as the default printer A click on the printer icon on the Print Preview dialogue box would send the results to OneNote or Microsoft XPS or as selected after which the results would be displayed for further usage The default printer of a computer system can be changed by checking on the view devices and printers in the control panel Right click on the preferred printer to set it as default for usage by checking on the Set as default printer option 4
11. utted into to the Data panel after which the next data entry can be made again through the Data panel This process would continue until the last data point in the population is entered All the data entry can be viewed by clicking on the scroll arrow on the Data panel Specify the number of samples to be selected in the Count box and click on the Generate button to generate the required samples for that stratum Repeat this process to generate samples from Other strata If more than five strata are desired simply click on clear option beside the data panel of strata 1 to clear data entered and repeat the above process beginning from this stratum to make up to the number of strata desired Other steps on how to view and print the results generated as provided in Section 3 1 then follow from here CONCLUSION The current version of the Multipurpose Sample Generator software MSG 1 0 0 is designed to generate random samples of different forms numeric or alpha numeric Two basic sampling techniques of Simple Random Sample and Stratified Random Sample with replacement were implemented by MSG 1 0 0 Thus the next version of the software MSG 1 0 1 would implement these sampling schemes under the sampling with and without replacements Other sampling schemes that would be incorporated in future are the double sampling cluster sampling systematic sampling and so on Al
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