Business Statistics syllabus
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Business Statistics
9 units
1 Describing Data using Graphs and Tables (4 LHs)
2 Describing Data Using Numerical Measures (9 LHs)
- Measures of central tendency
- Measures of variation (Range, Inter quartile Range, Quartile deviations, Standard deviation)
- Variance and Coefficient of Variation
- Measurement of skewness
- Measurement of kurtosis (Percentile coefficient of kurtosis)
- Five number summery, Box- and -Whisker plot, Problems using Excel
3 Simple Linear Correlation Analysis (5 LHs)
4 Simple Linear Regression Analysis (4 LHs)
5 Probability (4 LHs)
9 Introduction to Hypothesis Testing (7 LHs)
- Introduction
- Steps of hypothesis testing
- Level of significance
- One tailed test and two tailed test
- Hypothesis testing using critical value and p-value approaches
- Test of significance for large samples (Z-test)
- Test of significance of a single proportion and difference between two proportions
- Problems using Excel
1. Describing Data using Graphs and Tables (4 LHs)
- Uses and scope of statistics in business and management
- Uses and scope of statistics in business and management
- Frequency distribution
- Frequency distribution
- Stem- and-leaf plots
- Stem- and-leaf plots
- Diagrams
- Diagrams (Simple bar diagram, Sub-divided bar diagram, Multiple bar diagram, and Pie-chart) and graphical presentation of frequency distribution – Histogram
- Ogive curve
- Problems using Excel
- Problems using Excel.
2. Describing Data Using Numerical Measures (9 LHs)
- Measures of central tendency
- Measures of central tendency (Mean, Median and Mode), Partition values (Quartiles, Deciles and Percentiles)
- Measures of variation (Range, Inter quartile Range, Quartile deviations, Standard deviation)
- Measures of variation (Range, Inter quartile Range, Quartile deviations, Standard deviation)
- Variance and Coefficient of Variation
- Variance and Coefficient of Variation
- Measurement of skewness
- Measurement of skewness (Karl Pearson coefficient of skewness and Bowley coefficient of skewness)
- Measurement of kurtosis (Percentile coefficient of kurtosis)
- Measurement of kurtosis (Percentile coefficient of kurtosis)
- Five number summery, Box- and -Whisker plot, Problems using Excel
- Five number summery, Box- and -Whisker plot, Problems using Excel.
3. Simple Linear Correlation Analysis (5 LHs)
- Introduction
- Introduction
- Scatter plot
- Karl Pearson’s correlation coefficient including bi-variate frequency distribution
- Karl Pearson’s correlation coefficient including bi-variate frequency distribution
- Coefficient of determination
- Coefficient of determination
- Test of significance of sample correlation coefficient using probable error
- Test of significance of sample correlation coefficient using probable error
- Spearman’s rank correlation coefficient
- Spearman’s rank correlation coefficient
- Problems using Excel
- Problems using Excel.
4. Simple Linear Regression Analysis (4 LHs)
- Introduction
- Introduction
- Simple linear regression models
- Simple linear regression models
- Assumptions of linear regression model
- Assumptions of linear regression model
- Line of best fit
- Linear regression model by least-squares method
- Linear regression model by least-squares method
- Interpretation of regression coefficients
- Interpretation of regression coefficients
- Properties of regression coefficient
- Properties of regression coefficient
- Regression coefficient for bi- variate frequency distribution
- regression coefficient for bi- variate frequency distribution
- Problems using Excel
- Problems using Excel.
5. Probability (4 LHs)
- Introduction
- Introduction, Sample space and events, Probability, Laws of probability, Conditional probability, Problems using Excel.
6. Probability Distributions (6 LHs)
- Introduction
- Introduction
- Discrete probability distribution (Binomial distribution and Poisson distribution)
- Discrete probability distribution (Binomial distribution and Poisson distribution)
- Continuous probability distribution (Normal distribution)
- Continuous probability distribution (Normal distribution)
- Problems using Excel
- Problems using Excel.
7. Sampling Theory (3 LHs)
- Introduction
- Introduction
- Population and sample
- Population and sample
- Objectives of sampling
- Objectives of sampling
- Sampling techniques
- Sampling and non-sampling errors
- Sampling and non-sampling errors
- Standard error
- Concept of central limit theorem
- Concept of central limit theorem.
8. Estimation (6 LHs)
- Introduction
- Introduction
- Properties of good estimator (Consistency, Unbiasedness, Efficiency and Sufficiency)
- Properties of good estimator (Consistency, Unbiasedness, Efficiency and Sufficiency)
- Point and interval estimates
- Point and interval estimates
- Level of confidence
- Confidence interval estimates for mean and proportion
- Confidence interval estimates for mean and proportion
- Determination of sample size for mean and proportion
- Determination of sample size for mean and proportion
- Problems using Excel
- Problems using Excel.
9. Introduction to Hypothesis Testing (7 LHs)
- Introduction
- Introduction
- Steps of hypothesis testing
- Steps of hypothesis testing
- Level of significance
- Level of significance
- Critical region
- One tailed test and two tailed test
- One tailed test and two tailed test
- Hypothesis testing using critical value and p-value approaches
- Hypothesis testing using critical value and p-value approaches
- Test of significance for large samples (Z-test)
- Test of significance for large samples (Z-test): Test of significance of a single mean and difference between two means
- Test of significance of a single proportion and difference between two proportions
- Test of significance of a single proportion and difference between two proportions
- Problems using Excel
- Problems using Excel.