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SOUTH AFRICAN QUALIFICATIONS AUTHORITY 
REGISTERED UNIT STANDARD THAT HAS PASSED THE END DATE: 

Understand and apply statistical techniques for business and research applications 
SAQA US ID UNIT STANDARD TITLE
115448  Understand and apply statistical techniques for business and research applications 
ORIGINATOR
SGB Building Construction 
PRIMARY OR DELEGATED QUALITY ASSURANCE FUNCTIONARY
-  
FIELD SUBFIELD
Field 12 - Physical Planning and Construction Physical Planning, Design and Management 
ABET BAND UNIT STANDARD TYPE PRE-2009 NQF LEVEL NQF LEVEL CREDITS
Undefined  Regular  Level 6  Level TBA: Pre-2009 was L6  18 
REGISTRATION STATUS REGISTRATION START DATE REGISTRATION END DATE SAQA DECISION NUMBER
Passed the End Date -
Status was "Registered" 		 2005-08-11  2008-08-11  SAQA 1055/04 
LAST DATE FOR ENROLMENT LAST DATE FOR ACHIEVEMENT
2009-08-11   2012-08-11  

In all of the tables in this document, both the pre-2009 NQF Level and the NQF Level is shown. In the text (purpose statements, qualification rules, etc), any references to NQF Levels are to the pre-2009 levels unless specifically stated otherwise.  

This unit standard does not replace any other unit standard and is not replaced by any other unit standard. 

PURPOSE OF THE UNIT STANDARD 
A person credited with this unit standard will be able to understand and apply statistical techniques, including the organisation and presentation of data, probability theory and probability distributions, statistical inference techniques and correlation and regression analysis.
These learning outcomes form part of the Fundamental learning of the Bachelors Degree in Construction Management.
This unit standard will contribute to the full development of a professional community of Construction Managers

The skills, knowledge and understanding demonstrated within this unit standard are essential for social and economic transformation and upliftment within the construction environment 

LEARNING ASSUMED TO BE IN PLACE AND RECOGNITION OF PRIOR LEARNING 
The following knowledge, skills attitude and / or equivalent:
  • FETC Mathematical Science 
    		•

    UNIT STANDARD RANGE 
    The typical scope of this unit standard:

    Data description includes:
  • Population, sample, data
  • Discrete and continuous data
  • Descriptive statistics e.g. measures of central tendency and dispersion
  • Graphical representations of data e.g. histograms, frequency polygons, pie charts

    Probability and probability distributions includes:
  • Set theory
  • Intuitive and formal probability
  • Axioms of probability
  • Frequency distributions
  • Random variables and probability distribution functions
  • Properties of probability distribution functions
  • Special probability distributions (normal, binomial, Poisson)

    Statistical Inference includes:
  • Sampling
  • Point and interval estimation
  • Level of significance, selection of test statistic, decision rule
  • Hypothesis testing
  • Chi -square for goodness of fit and for independence
  • Statistical conclusions

    Correlation and simple regression analysis includes:
  • Independent and dependent variables
  • Scatter diagrams
  • Correlation analysis
  • Normal equations and method of least squares
  • Regression coefficients 
    		•

    Specific Outcomes and Assessment Criteria: 

    SPECIFIC OUTCOME 1 
    Demonstrate an understanding of the organisation and presentation of data. 

    ASSESSMENT CRITERIA     

    ASSESSMENT CRITERION 1 
    The concepts of data, population and sample are defined 

    ASSESSMENT CRITERION 2 
    The difference between discrete and continuous data is understood 

    ASSESSMENT CRITERION 3 
    Descriptive statistics (e.g. mean, standard deviation, variance) are understood and can be computed. 

    ASSESSMENT CRITERION 4 
    Discrete and continuous data can be represented graphically e.g. using histograms, frequency polygons, etc. 

    SPECIFIC OUTCOME 2 
    Understand and utilise probability theory and probability distributions. 

    ASSESSMENT CRITERIA     

    ASSESSMENT CRITERION 1 
    An understanding of set theory is demonstrated 

    ASSESSMENT CRITERION 2 
    The concept of probability is understood 

    ASSESSMENT CRITERION 3 
    Axioms of probability are understood and can be utilised in computing the probability of events 

    ASSESSMENT CRITERION 4 
    The concept of random variables is understood 

    ASSESSMENT CRITERION 5 
    Probability distributions are understood and computed 

    ASSESSMENT CRITERION 6 
    Probability distribution functions are understood 

    ASSESSMENT CRITERION 7 
    The properties of probability distributions can be computed and utilised e.g. mean and variance 

    ASSESSMENT CRITERION 8 
    Special probability distributions (normal, binomial and Poisson) are understood and their properties can be computed and utilised 

    SPECIFIC OUTCOME 3 
    Understand and apply statistical inference techniques. 

    ASSESSMENT CRITERIA     

    ASSESSMENT CRITERION 1 
    An understanding of sampling and an ability to apply sampling techniques is demonstrated 

    ASSESSMENT CRITERION 2 
    Point and interval concepts are understood and can be applied 

    ASSESSMENT CRITERION 3 
    Levels of significance are understood, appropriate test statistics can be selected, and decision rules can be applied. 

    ASSESSMENT CRITERION 4 
    Hypotheses can be formulated and hypothesis testing performed. 

    ASSESSMENT CRITERION 5 
    The Chi-square test for goodness of fit and independence is understood and can be applied 

    ASSESSMENT CRITERION 6 
    Statistical conclusions can be drawn for statistical computations 

    SPECIFIC OUTCOME 4 
    Understand and apply correlation and regression analysis. 

    ASSESSMENT CRITERIA     

    ASSESSMENT CRITERION 1 
    The concept of dependent and independent variables is understood. 

    ASSESSMENT CRITERION 2 
    Scatter diagrams are drawn. 

    ASSESSMENT CRITERION 3 
    The method of least squares is understood and can be applied. 

    ASSESSMENT CRITERION 4 
    Simple linear regression can be applied. 

    ASSESSMENT CRITERION 5 
    Correlation analysis can be performed. 


    UNIT STANDARD ACCREDITATION AND MODERATION OPTIONS 
  • Anyone assessing a learner or moderating the assessment of a learner against this unit standard must be registered as an assessor with the relevant ETQA for The Bachelors Degree in Construction Management, NQF Level 6
  • Any institution offering learning that will enable the achievement of this unit standard must be accredited as a provider with the relevant ETQA
  • The relevant ETQA or other ETQA's, who have a Memorandum of Understanding in place with relevant ETQA, would be responsible for moderation of learner achievements of learners who meet the requirements of this qualification. 
    		•

    UNIT STANDARD ESSENTIAL EMBEDDED KNOWLEDGE 
  • The concepts of data, population and sample
  • Discrete vs. continuous data
  • Descriptive statistics
  • Graphical representation of data, including histograms, frequency polygons and pie-charts
  • Set theory
  • The concept of probability
  • Axioms of probability
  • The concept of random variables
  • Probability distributions and Probability distribution functions
  • Special probability distributions
  • Sampling and sampling techniques
  • Point and interval concepts
  • Levels of significance
  • The Chi-square test
  • Correlation and regression analysis 
    		•

    UNIT STANDARD DEVELOPMENTAL OUTCOME 
    N/A 

    UNIT STANDARD LINKAGES 
    N/A 


    Critical Cross-field Outcomes (CCFO): 

    UNIT STANDARD CCFO IDENTIFYING 
    Identify and solve problems

    Specific outcome:
    Understand and utilise probability theory and probability distributions

    Assessment criteria
    Hypotheses can be formulated and hypothesis testing performed. 

    UNIT STANDARD CCFO WORKING 
    Work effectively with others

    Specific outcome:
  • Understand and apply correlation and regression analysis
  • Demonstrate an understanding of the organisation and presentation of data

    Assessment criteria
  • Hypotheses can be formulated and hypothesis testing performed
  • An understanding of sampling and an ability to apply sampling techniques is demonstrated
  • Levels of significance are understood, appropriate test statistics can be selected, and decision rules can be applied. 
    		•

    UNIT STANDARD CCFO ORGANISING 
    Employ self management

    Specific outcome:
    Understand and utilise probability theory and probability distributions

    Assessment criteria
    Statistical conclusions can be drawn for statistical computations 

    UNIT STANDARD CCFO COLLECTING 
    Manage information

    Specific outcome:
  • Demonstrate an understanding of the organisation and presentation of data
  • Understand and apply statistical inference techniques

    Assessment criteria
  • Discrete and continuous data can be represented graphically e.g. using histograms, frequency polygons, etc
  • Hypotheses can be formulated and hypothesis testing performed. 
    		•

    UNIT STANDARD CCFO COMMUNICATING 
    Communicate effectively

    Specific outcome:
    Demonstrate an understanding of the organisation and presentation of data

    Assessment criteria
  • Discrete and continuous data can be represented graphically e.g. using histograms, frequency polygons, etc
  • Scatter diagrams are drawn 
    		•

    UNIT STANDARD CCFO SCIENCE 
    Demonstrate scientific and technological competence

    Specific outcome:
  • Understand and utilise probability theory and probability distributions
  • Understand and apply correlation and regression analysis

    Assessment criteria
  • The Chi-square test for good ness of fit and independence is understood and can be applied
  • Special probability distributions (normal, binomial and Poisson) are understood and their properties can be computed and utilised 
    		•

    UNIT STANDARD CCFO DEMONSTRATING 
    Understand Contextual world-systems

    Specific outcome:
  • Understand and apply statistical inference techniques
  • Understand and apply correlation and regression analysis

    Assessment criteria
  • The concept of dependent and independent variables is understood
  • Axioms of probability are understood and can be utilised in computing the probability of events 
    		•

    UNIT STANDARD ASSESSOR CRITERIA 
    N/A 

    UNIT STANDARD NOTES 
    N/A 

    QUALIFICATIONS UTILISING THIS UNIT STANDARD: 
      ID QUALIFICATION TITLE PRE-2009 NQF LEVEL NQF LEVEL STATUS END DATE PRIMARY OR DELEGATED QA FUNCTIONARY
    Core  63711   Bachelor of Geographical Information Science (GISc)  Level 7  NQF Level 07  Passed the End Date -
    Status was "Reregistered"     		 2018-06-30   
    Fundamental  63689   Bachelor of Arts: Geographical Information Science  Level 6  Level TBA: Pre-2009 was L6  Passed the End Date -
    Status was "Reregistered"     		 2018-06-30   
    Fundamental  48700   Bachelor of Construction Management: Built Environment  Level 6  Level TBA: Pre-2009 was L6  Passed the End Date -
    Status was "Reregistered"     		 2012-06-30  CHE 


    PROVIDERS CURRENTLY ACCREDITED TO OFFER THIS UNIT STANDARD: 
    This information shows the current accreditations (i.e. those not past their accreditation end dates), and is the most complete record available to SAQA as of today. Some Primary or Delegated Quality Assurance Functionaries have a lag in their recording systems for provider accreditation, in turn leading to a lag in notifying SAQA of all the providers that they have accredited to offer qualifications and unit standards, as well as any extensions to accreditation end dates. The relevant Primary or Delegated Quality Assurance Functionary should be notified if a record appears to be missing from here.
     
    NONE 


    All qualifications and part qualifications registered on the National Qualifications Framework are public property. Thus the only payment that can be made for them is for service and reproduction. It is illegal to sell this material for profit. If the material is reproduced or quoted, the South African Qualifications Authority (SAQA) should be acknowledged as the source.