{"id":5961,"date":"2024-08-14T22:08:07","date_gmt":"2024-08-14T15:08:07","guid":{"rendered":"https:\/\/istiarto.staff.ugm.ac.id\/?page_id=5961"},"modified":"2026-02-08T19:31:27","modified_gmt":"2026-02-08T12:31:27","slug":"statistics-and-probability","status":"publish","type":"page","link":"https:\/\/istiarto.staff.ugm.ac.id\/index.php\/kuliah\/sarjana-s1\/statistics-and-probability\/","title":{"rendered":"Statistics and Probability"},"content":{"rendered":"\r\n

Statistics and Probability is a course subject in the IUP’s Civil Engineering. It is a 2-credit compulsory subject. The subject covers the following topics.<\/p>\r\n

    \r\n
  1. Introduction to statistics<\/li>\r\n
  2. Data organization and presentation<\/li>\r\n
  3. Statistical measures<\/li>\r\n
  4. Probability<\/li>\r\n
  5. Random variables<\/li>\r\n
  6. Probability distributions<\/li>\r\n
  7. Confidence intervals<\/li>\r\n
  8. Hypothesis testings<\/li>\r\n
  9. Regression<\/li>\r\n
  10. Correlation<\/li>\r\n<\/ol>\r\n

    Weekly Agenda<\/h2>\r\n
    \r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n\r\n
    Week#<\/strong><\/td>\r\nSubject<\/strong><\/td>\r\nDescription<\/strong><\/td>\r\n<\/tr>\r\n<\/thead>\r\n
    1<\/td>\r\nStatistical measure.<\/td>\r\nCentral tendency. Variability. Measure of individual in a population.<\/td>\r\n<\/tr>\r\n
    2<\/td>\r\nData, samples, and population<\/td>\r\nUnderstanding on data, samples, and population. Presentation of data in tables and charts.<\/td>\r\n<\/tr>\r\n
    3<\/td>\r\nProbability (1).<\/td>\r\nBasics of probability. Interpretation of probability.<\/td>\r\n<\/tr>\r\n
    4<\/td>\r\nProbability (2).<\/td>\r\nConditional probability. Total probability. Bayes theorem. Exercise #1<\/span><\/strong>.<\/td>\r\n<\/tr>\r\n
    5<\/td>\r\nRandom variables.<\/td>\r\nUnderstanding on random variables, pdf, and cdf. Random variables. Bivariate random variables.<\/td>\r\n<\/tr>\r\n
    6<\/td>\r\nProbability distribution (1).<\/td>\r\nHypergeometric distribution. Binomial distribution. Poisson distribution. Geometric distribution. Negative binomial distribution. Exercise #2<\/span><\/strong>.<\/td>\r\n<\/tr>\r\n
    7<\/td>\r\nProbability distribution (2).<\/td>\r\nUniform distribution. Normal distribution. t distribution. Chi-square distribution. F distribution.<\/td>\r\n<\/tr>\r\n
    8<\/td>\r\nMidterm exam.<\/span><\/strong><\/td>\r\n<\/tr>\r\n
    9<\/td>\r\nStatistical inferences, confidence intervals (1).<\/td>\r\nReview on subjects from weeks prior to midterm exam. Introduction to statistical inferences in engineering. Estimate of statistical parameters, single estimate, confidence intervals. Confidence interval on mean of normal distribution. \u00a0Statistical tables.<\/td>\r\n<\/tr>\r\n
    10<\/td>\r\nStatistical inferences, confidence intervals (2).<\/td>\r\nConfidence interval on variance of normal distribution. Margin of error. Confidence interval on two samples.<\/td>\r\n<\/tr>\r\n
    11<\/td>\r\nStatistical inferences, hypothesis testing (1).<\/td>\r\nIntroduction to hypothesis tests. Hypothesis testing on mean of normal distribution. Single- and double-sided hypothesis tests. Exercise 1.<\/span><\/strong><\/td>\r\n<\/tr>\r\n
    12<\/td>\r\nStatistical inferences, hypothesis testing (2).<\/td>\r\nHypothesis on mean of two normal distributions. Hypothesis on variance of normal distribution. Hypothesis test vs confidence interval.<\/td>\r\n<\/tr>\r\n
    13<\/td>\r\nRegression.<\/td>\r\nIntroduction to regression. Linear regression. Linear regression of two variables. Polynomial regression. Multivariable regression.<\/td>\r\n<\/tr>\r\n
    14<\/td>\r\nCorrelation.<\/td>\r\nIntroduction to correlation. Correlation coefficient. Exercise 2<\/span><\/strong>.<\/td>\r\n<\/tr>\r\n
    15<\/td>\r\nCase studies.<\/td>\r\nReview, case study.<\/td>\r\n<\/tr>\r\n
    16<\/td>\r\nFinal Exam.<\/span><\/strong><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<\/figure>\r\n\r\n\r\n\r\n

    Lecture Notes<\/h2>\r\n

    Below are presentation files in pdf format.<\/p>\r\n

    SAP00 Course Description<\/a>
    SAP01 Introduction<\/a>
    SAP02 Data Organization and Presentation<\/a>
    SAP03 Statistical Measures<\/a>
    SAP04 Probability<\/a>
    SAP05 Random Variables<\/a>
    SAP06 Probability Distributions<\/a>
    SAP07 Confidence Intervals<\/a>
    SAP08 Hypothesis Testing<\/a>
    SAP09 Regression<\/a>
    SAP10 Correlation<\/a><\/p>\r\n

    Statistical Tables<\/h3>\r\n

    Standard normal distribution<\/a>
    t distribution<\/a>
    Chi-square distribution<\/a>
    F distribution<\/a><\/p>\r\n

    Data for Exercises<\/h3>\r\n

    Example_students_grade.xlsx<\/a>
    Example_water_supply_failure.xlsx<\/a>
    Example_Bivariate_Random_Variables.xlsx<\/a><\/p>\r\n

    Exams<\/h2>\r\n

    Midterm_Exam_2024<\/a>\u00a0 |\u00a0 Solved_Problems_Midterm_Exam_2024<\/a>
    EndSem_Exam_2024<\/a>\u00a0 |\u00a0 Solved_Problems_EndSem_Exam_2024<\/a>
    Midterm_Exam_2025<\/a>\u00a0 |\u00a0 Solved_Problems_Midterm_Exam_2025<\/a>
    Final_Exam_2025<\/a>\u00a0 |\u00a0 Solved_Problems_Final_Exam_2025<\/a><\/p>\r\n","protected":false},"excerpt":{"rendered":"

    Statistics and Probability is a course subject in the IUP’s Civil Engineering. It is a 2-credit compulsory subject. The subject covers the following topics. Introduction to statistics Data organization and presentation Statistical measures Probability Random variables Probability distributions Confidence intervals … Continue reading →<\/span><\/a><\/p>\n","protected":false},"author":71,"featured_media":0,"parent":2999,"menu_order":7,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-5961","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/istiarto.staff.ugm.ac.id\/index.php\/wp-json\/wp\/v2\/pages\/5961","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/istiarto.staff.ugm.ac.id\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/istiarto.staff.ugm.ac.id\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/istiarto.staff.ugm.ac.id\/index.php\/wp-json\/wp\/v2\/users\/71"}],"replies":[{"embeddable":true,"href":"https:\/\/istiarto.staff.ugm.ac.id\/index.php\/wp-json\/wp\/v2\/comments?post=5961"}],"version-history":[{"count":99,"href":"https:\/\/istiarto.staff.ugm.ac.id\/index.php\/wp-json\/wp\/v2\/pages\/5961\/revisions"}],"predecessor-version":[{"id":7267,"href":"https:\/\/istiarto.staff.ugm.ac.id\/index.php\/wp-json\/wp\/v2\/pages\/5961\/revisions\/7267"}],"up":[{"embeddable":true,"href":"https:\/\/istiarto.staff.ugm.ac.id\/index.php\/wp-json\/wp\/v2\/pages\/2999"}],"wp:attachment":[{"href":"https:\/\/istiarto.staff.ugm.ac.id\/index.php\/wp-json\/wp\/v2\/media?parent=5961"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}