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ECO450

Applied Statistics

This course introduces students to various statistical tools applicable in economic analysis. Building upon elementary statistics and economics, it explores underlying assumptions, formulas, and calculations. Students will learn to apply these tools to real-life situations and interpret calculated coefficients in an economic context. The course covers sampling distributions, analysis of variance and covariance, multiple regressions, time series analysis, and price indices.

About this course

Difficulty
Intermediate
Study hours
208 hours
Maths
Intermediate
Content
Theoretical, practical, problem solving
Practical work
Yes
Before you start
  • Elementary Statistics
  • Elementary Economics
How it is assessed
  • Assignments
  • Tutor marked assessments
  • Final examination

One paragraph, so you can see how it reads

ECO450 · UNIT 1 SAMPLING DISTRIBUTION

The variance of a population is defined as the expected value of the squared deviations of the value of x from their expected mean value.

What you should be able to do

  1. Apply statistical tools in economic analysis
  2. Calculate and interpret sampling distributions
  3. Perform analysis of variance and covariance
  4. Estimate and interpret multiple regression models
  5. Analyze time series data and price indices
  6. Make informed decisions based on statistical results

What it prepares you for

Careers
  • Economist
  • Statistician
  • Data Analyst
  • Market Research Analyst
  • Financial Analyst
Where it is applied
  • Finance
  • Economics
  • Market Research
  • Government
  • Consulting
Tools
  • Statistical Software (e.g., SPSS, R)
  • Spreadsheet Software (e.g., Excel)

Where it gets hard

The units students slow down on, and what makes each one heavy.

  • Module 2:

    Unit 1: One-way Factor Analysis of Variance

    Understanding the assumptions and conditions for valid application of one-way ANOVA requires careful attention to detail and potential violations.

  • Module 3:

    Unit 2: Partial Correlation Coefficient

    Interpreting partial correlation coefficients requires a clear understanding of controlling for the effects of other variables and potential multicollinearity issues.

A suggested way through it

Suggested

13 weeks, about 52 hours in total. Yours will differ.

  1. Week 1Module 1: Statistical Inference
    • Unit 1: Sampling Distribution Defined · 4 hours

      Define population and sample.. Explain sampling theory and its significance.. Analyze parameter estimation techniques.. Practice estimating sample mean, population mean, and related statistical measures..

  2. Week 2Module 1: Statistical Inference
    • Unit 2: Sampling Distribution of Proportion · 4 hours

      Calculate sampling distribution of proportion.. Estimate sampling distribution of sum.. State sampling distribution of difference and standard error.. Solve problems involving binomial distribution..

  3. Week 3Module 1: Statistical Inference
    • Unit 3: Sampling Distribution of Difference and Sum of Two Means · 4 hours

      Calculate sampling distribution of sum of two means.. State sampling distribution of difference and standard error.. Apply formulas to solve problems related to sampling distributions..

  4. Week 4Module 1: Statistical Inference
    • Unit 4: Probability Distribution · 4 hours

      Discuss the concept of probability.. State different probability distributions.. Calculate probabilities using binomial, Poisson, and normal distributions.. Interpret results in practical scenarios..

  5. Week 5Module 2:
    • Unit 1: One-way Factor Analysis of Variance · 4 hours

      Calculate the total sum of squares.. State sum of squares between groups.. Explain sum of squares within the group.. Describe mean square and its significance..

  6. Week 6Module 2:
    • Unit 2: Two-way Factor Analysis of Variance · 4 hours

      Test for two null hypotheses.. Apply two-way analysis of variance.. Interpret results for treatment and block effects.. Understand the interaction between factors..

  7. Week 7Module 2:
    • Unit 3: Analysis of Covariance · 4 hours

      Define analysis of covariance.. Discuss covariate and its role.. Explain adjusted Yis.. Develop and analyze table of analysis of covariance.. Calculate terms for ANCOVA table..

  8. Week 8Module 3:
    • Unit 1: Estimation of Multiple Regressions · 4 hours

      Regress independent variables on the dependent variable.. Identify parameter estimates involved.. Calculate values of bo, b1, b2, … bn.. Analyze test of significance.. Discuss test of overall significance of the regression..

  9. Week 9Module 3:
    • Unit 2: Partial Correlation Coefficient · 4 hours

      Analyze partial regression coefficient.. State estimation of partial regression coefficient.. Interpret the meaning of partial correlation.. Calculate partial correlation coefficients..

  10. Week 10Module 3:
    • Unit 3: Multiple Correlation Coefficient and Coefficient of Determination · 4 hours

      Estimate multiple correlation coefficient (r).. Estimate coefficient of determination.. Interpret the statistical significance of the results.. Understand the relationship between multiple correlation and coefficient of determination..

  11. Week 11Module 3:
    • Unit 4: Overall Test of Significance · 4 hours

      State the calculation of F-statistics (Fcal).. Check the corresponding tabulated value of F-statistics through its degree of freedom.. Compare the F-statistics and Ftab.. Interpret the answer in terms of statistical significance..

  12. Week 12Module 4:
    • Unit 1: Time Series and Its Components · 4 hours

      Define time series and its applications.. Identify component parts of time series.. Describe methods of estimating time series.. Attempt estimation and graphical representation of the trend..

  13. Week 13Module 4:
    • Unit 2: Quantitative Estimation of Time Series · 4 hours

      Estimate time series data using least square method.. Estimate time series using moving average.. Estimate time series using semi-average method.. Compare and contrast the different estimation methods..

Preparing for the exam

What to do
  • Review all unit objectives and key concepts.
  • Practice solving problems from the Student Assessment Exercises (SAE).
  • Focus on understanding the assumptions and limitations of each statistical tool.
  • Create summaries of formulas and their applications.
  • Allocate time to review tutor-marked assignments and feedback.

Questions students ask about this course

What is ECO450 about?

This course introduces students to various statistical tools applicable in economic analysis. Building upon elementary statistics and economics, it explores underlying assumptions, formulas, and calculations. Students will learn to apply these tools to real-life situations and interpret calculated coefficients in an economic context. The course covers sampling distributions, analysis of variance and covariance, multiple regressions, time series analysis, and price indices.

How many units does ECO450 have?

ECO450, Applied Statistics, has 14 units across 4 modules, over 113 pages of course material. You can read it one unit at a time.

How many credit units is ECO450?

ECO450 carries 2 credit units, at 400 level in Social Sciences.

Is ECO450 hard?

ECO450 is rated intermediate level, with intermediate mathematical content. It is mostly theoretical, practical and problem solving work, and it has a practical component.

How long does ECO450 take to study?

About 208 hours of study, spread across its 14 units.

How is ECO450 assessed?

ECO450 is assessed by assignments, tutor marked assessments and final examination.

What do I need before starting ECO450?

Elementary Statistics Elementary Economics

What can I do with ECO450?

Economist, Statistician, Data Analyst, Market Research Analyst and Financial Analyst.

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