DTS 2243 units200 LevelSecond Semester

Statistical Inference and Modelling

B.Sc. Data Science, University of Uyo

DTS 224 (Statistical Inference and Modelling) is a 3-unit, 200 Level course taught in the Second Semester at the University of Uyo, Akwa Ibom State, Nigeria.

Reasoning from a sample to a population: estimation, confidence intervals, hypothesis testing, and the linear model. The core statistical machinery of the degree — and the part most often misused in practice.

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  • 3 recommended textbooks
  • an AI tutor that has read this course’s outline and notes
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Course outline

  1. 01Populations, samples, parameters and statistics; sampling distributions
  2. 02The Central Limit Theorem and its practical consequences
  3. 03Point estimation: unbiasedness, efficiency, consistency; method of moments and maximum likelihood
  4. 04Interval estimation: confidence intervals for means, proportions and variances
  5. 05Hypothesis testing: null and alternative hypotheses, test statistics, p-values, Type I and Type II errors, power
  6. 06One- and two-sample tests: z, t, chi-square and F tests
  7. 07Analysis of variance (ANOVA): one-way and two-way
  8. 08Simple and multiple linear regression: estimation, interpretation, inference on coefficients
  9. 09Model diagnostics: residual analysis, multicollinearity, and the assumptions of the linear model

Recommended textbooks

  • Mathematical Statistics with Applications — Wackerly, Mendenhall & Scheaffer

    7th ed. — rigorous and complete

  • Statistical Inference — George Casella & Roger L. Berger

    2nd ed. — the graduate-level reference; consult rather than read cover to cover

  • OpenIntro Statistics — Diez, Çetinkaya-Rundel & Barr

    4th ed. — free; the best explanations of p-values and confidence intervals

How to pass DTS 224

  • Learn what a p-value actually is and — more importantly — what it is not. Almost everyone gets this wrong, and examiners specifically test the misinterpretations
  • A confidence interval is a statement about the procedure, not about the parameter. Say it correctly once and it stays right forever
  • Simulate the Central Limit Theorem yourself in R (DTS 211): draw 1000 samples, plot the means, watch it become normal. Nothing else makes it as concrete
  • For every test, memorise the assumptions alongside the formula — "which test do I use here?" is the exam's favourite question

DTS 224 — questions and answers

What is DTS 224 at the University of Uyo?
DTS 224 (Statistical Inference and Modelling) is a 3-unit, 200 Level course taught in the Second Semester at the University of Uyo, Akwa Ibom State, Nigeria. Reasoning from a sample to a population: estimation, confidence intervals, hypothesis testing, and the linear model. The core statistical machinery of the degree — and the part most often misused in practice.
What topics are covered in DTS 224?
The DTS 224 outline covers 9 topics: Populations, samples, parameters and statistics; sampling distributions; The Central Limit Theorem and its practical consequences; Point estimation: unbiasedness, efficiency, consistency; method of moments and maximum likelihood; Interval estimation: confidence intervals for means, proportions and variances; Hypothesis testing: null and alternative hypotheses, test statistics, p-values, Type I and Type II errors, power; One- and two-sample tests: z, t, chi-square and F tests; Analysis of variance (ANOVA): one-way and two-way; Simple and multiple linear regression: estimation, interpretation, inference on coefficients; Model diagnostics: residual analysis, multicollinearity, and the assumptions of the linear model.
What textbooks are recommended for DTS 224?
Recommended reading for DTS 224: Mathematical Statistics with Applications by Wackerly, Mendenhall & Scheaffer; Statistical Inference by George Casella & Roger L. Berger; OpenIntro Statistics by Diez, Çetinkaya-Rundel & Barr.
How do I pass DTS 224?
Learn what a p-value actually is and — more importantly — what it is not. Almost everyone gets this wrong, and examiners specifically test the misinterpretations A confidence interval is a statement about the procedure, not about the parameter. Say it correctly once and it stays right forever Simulate the Central Limit Theorem yourself in R (DTS 211): draw 1000 samples, plot the means, watch it become normal. Nothing else makes it as concrete For every test, memorise the assumptions alongside the formula — "which test do I use here?" is the exam's favourite question
Where can I find DTS 224 lecture notes and past questions?
Areté (https://www.aretecyb.tech/courses/dts-224) carries 3 recommended textbooks for DTS 224, plus an AI tutor that has read the outline. It is free for University of Uyo students — sign in with your email, no password.

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