Brief Description of the Major Field
The PhD in Statistics program is designed to give the student a wide exposure to actual problems in statistical theory and methods.
Graduates of MS in Statistics or its equivalent from an accredited university/college; those who have interest to pursue advance degree in Statistics; those who are working in line with statistics and even those who are "heavy" users of statistics are prospective students of this program.
tistics has applications almost in all areas of study and with this program, a user of statistics can better appreciate the application of statistics in a given area of study. With a program that is well-balanced mixture of theory and applied courses, it is expected that the graduates of the program can very well apply statistics in other fields of interest with more confidence and understanding.
Requirements and Mechanics to Graduate
The PhD STAT program requires a minimum of 37 units, these are 15 units of major courses, 9 units of minor courses, 1 unit of seminar (STAT 399) and 12 units of dissertation (STAT 400). The major courses are composed of core courses STAT 341, STAT 342 and other 200 level courses in statistics to satisfy the minimum number of units.
PhD graduate student are expected to have a wide exposure to actual problems in statistical theory and methods through practicum in statistical consultation. As an option, a graduate student may choose to gain experience in University-level teaching. This involves assisting in a course or courses for one semester which will be determined by the Graduate Faculty of statistics.
STAT 235. Mathematics in Statistics (3). Matrices; transformations; infinite series; inequalities; generating functions; special functions. 3 hrs (class). PR. MATH 28 or MATH 38. (1)
STAT 241. Statistical Theory I (3). Probability, random variables, probability distributions; expectations, moments, and characteristic functions; distributions of functions of random variables; sampling distributions. 3 hrs (class). PR. STAT 142 or COI. (1)
STAT 242. Statistical Theory II (3). Parametric point and interval estimation; theory of hypothesis testing; introduction to linear models. 3 hrs (class). PR. STAT 241. (2)
STAT 250. Multivariate Statistical Methods (3). Multivariate normal populations; tests of hypotheses on means, multivariate analysis of variance; classification by linear discriminant function; inferences from covariance matrices; principal components; and factor analysis. 3 hrs (class). PR. STAT 162 and MATH 120 or COI. (1,2)
STAT 251. Linear Models I (3). Multidimensional normal distribution; distributions of quadratic forms; full rank models; estimation and tests of hypotheses. 3 hrs (class). PR.
STAT 142 and STAT 235 or COI. (1)
STAT 252. Linear Models II (3). Linear models not of full rank; experimental design models and components of variance models; distributional properties of point estimators; test of hypotheses. 3 hrs (class). PR. STAT 251.
STAT 263. Sampling and Sample Surveys (3). Simple random, stratified, systematic, multistage and multiphase sampling; ratio and regression estimation; sampling with varying probabilities. 3 hrs (class). PR. STAT 141 or COI.
STAT 264. Statistics for Epidemiology (3). Statistical methods in the collection, organization and analysis of epidemiologic data and subsequent interpretation. 5 hrs (2 class, 3 lab). PR. STAT 1 or COI (1).
STAT 266. Time Series Analysis I (3). Stationary stochastic processes; covariance and autocorrelation functions; autoregressive and moving average processes. 3 hrs (class). PR. COI. (1,2)
STAT 290. Special Problems (1-3). May be taken twice provided that the total number of units to be credited to the student’s program will not exceed 4 units.
STAT 291. Special Topics (1-3). May be taken twice provided that the total number of units to be credited to the student’s program will not exceed 4 units. PR. COI.
STAT 299. Graduate Seminar (1). May be taken twice.
STAT 300. Master’s Thesis (6). (1,2,S)
STAT 341. Theory of Probability (3). Measure-theoretic probability; characteristic functions; generalized and compound distributions; limit theorems; stochastic processes. 3 hrs (class). PR. STAT 242 or COI.
STAT 342. Statistical Inference (3). Statistical inference and statistical decision theory; sufficiency; most powerful tests; unbiasedness; invariance. 3 hrs (class). PR. STAT 341 or COI. (2)
STAT 363. Sampling Theory of Surveys (3). Stratified multistage sampling; sampling on successive occasions; problems and approaches in the development of multistage surveys. 3 hrs (class). PR. STAT 263 or COI.
STAT 399. PhD Graduate Seminar (1).
STAT 400. Doctoral Dissertation (12).
Key Person/s: Director of INSTAT
Phone Number/s: 63(049)5362381; 63(049)5360818
Email Address/es: [email protected]