Statistics 115
BASIC STATISTICAL
METHODS
Course Objectives
The major objective of this course is simply to introduce the basic principles of Inferential Statistics. In order
to enlighten the student on these basic principles, selected elementary tools in
INFERENTIAL STATISTICS ESTIMATION
1
Josefina V. Almeda
College Secretary/Asst. Prof. 7
School of Statistics
UP Diliman
2016
LEARNING OBJECTIVES
After the lesson on Estimation, the students
should be able to
Identify the two areas of Inferential Statistics
Chapter 3
ESTIMATION:
SINGLE POPULATION
Two Methods of Inference About a Parameter
(page 437)
Estimation inference about a parameter is made
by finding a single value or a range of values
computed from the sample data that may be used to
make a statement
Chapter 2
SAMPLING
DISTRIBUTIONS
Two Definitions of Random Sample
Random sample from a finite population (page 381)
Random sample from an infinite population (page382)
Chapter 2. Sampling Distribution
Random Sample from a Finite Population
(page 381)
De
Stat 115: Introduction to Linear
Regression and Correlation
Analysis
Josefina V. Almeda
College Secretary/Asst. Prof. 7
School of Statistics
UP Diliman
2016
1
Objectives
After this, you should be able to:
Calculate and interpret the simple correlation
bet
Chapter 4
ESTIMATION:
TWO POPULATIONS
Parameters of Interest
(pages 482, 487, 489)
Objective: compare the means of two populations
1.
Population 1: mean Parameter of interest:
Interpretation:
2.
X X 
X
X
Population 2: mean 
Y=
0: means of the two popula
STAT 115 : INTRO TO EXPERIMENTAL
DESIGN
Science answers questions with experiments
1
DEFINE THE PROBLEM
Begin by asking a question about your
topic
What is a good question for an
experiment?
One that is testable with the materials at
hand
2
Now we need a
INFERENTIAL STATISTICS
INTRODUCTION TO
HYPOTHESIS TESTING
1
Josefina V. Almeda
College Secretary/Asst. Prof. 7
School of Statistics
UP Diliman
2016
OUTLINE
Basic Concepts in Hypothesis Testing
Null and Alternative Hypotheses
Two Types of Errors
Types of
Two Population Case
Josefina V. Almeda
College Secretary/Asst. Prof. 7
School of Statistics
UP Diliman
2016
1
Testing the Difference Between
Two Population Means
Sample of
Size n1
Sample of
Size n2
Sample mean 1
Sample s.d.= s1
Sample mean=2
Sample s.d.=
One Population Case
Josefina V. Almeda
College Secretary/Asst. Prof. 7
School of Statistics
UP Diliman
2016
1
Table 1. Tests Concerning the Population Mean
Ho: = o
(where o is a specified hypothesized value of the population mean)
Test Statistic
Ha
Region
Introduction to Time Series
Analysis and Forecasting
Michael Daniel C. Lucagbo
[email protected]
School of Statistics, UP Diliman
Lecture for Stat 115 students under Prof. Josefina V. Almeda
May 17, 2016
Source: Rappler.com
Nature of Time Series
Time Se
Stat 115: ChiSquare Test of
Independence
Josefina V. Almeda
College Secretary/Asst. Prof.7
School of Statistics
UP Diliman
2016
1
Test of Independence
In a test of independence for a contingency table, we test
the null hypothesis that the two attributes
Soriano, Marie Lezith F.
Stat 143 Narrative Report
201200803
PRETEST SURVEY
Barangay Krus Na Ligas
Our group was assigned to Flores Street and I have Krisha Grace Aquino as my
partner in this pilot survey. While on our way to the place, we have decided
Soriano, Marie Lezith F.
201200803
Stat 143 Narrative Report
PRETEST SURVEY
Barangay Krus Na Ligas
Our group was assigned to Flores Street and I have Krisha Grace Aquino as my
partner in this pilot survey. While on our way to the place, we have decided
Statistics 101
Chapter 2: Collection and Presentation of Data (Part II)
2.3 Sampling
Ideally, we would want to conduct a census in order to have complete information about our population, i.e.
we get to have observations about all elements in the populati
Statistics 101
Chapter 5: Probability
5.1 Random Experiments, Sample Spaces, Events
A random experiment is a process:
That has all possible outcomes known in advance
Where the outcome of any trial cannot be predicted with certainty
Where trials can be
Statistics 101
Chapter 4: Measures of Dispersion and Skewness
A measure of dispersion indicates how varied the observations are in a collection. A small value indicates
that the observations are not too different from each other, while a large value indic
Statistics 101
Chapter 3: Measures of Central Tendency and Location
3.1 Notations and Symbols
The capital Greek letter (sigma) is used to denote the sum of numerical values.
= 1 + 2 + +
=1
This is read as the summation of xsubi, where i is from 1 to n
Statistics 101
Chapter 2: Collection and Presentation of Data (Part III)
Once we have collected the data, we may first summarize them in order to see some features. We can see
the range of values, areas of concentration, shape of the data distribution, an
Statistics 101
Chapter 2: Collection and Presentation of Data
2.1 Preliminaries
Steps in a Statistical Inquiry
1. Define the problem.
Identify research objectives
Define hypothesis/hypotheses
2. Formulate the research design.
What is my population?
Wi
Statistics 101
Chapter 1: Introduction
1.1 Nature of Statistics
Statistics is the branch of science that deals with the collection, organization, analysis, interpretation and
presentation of data. It plays an important role in almost all fields of interes
Stat 136
First Exam Reviewer
Y = X
nx 1 nxp px 1+
nx 1
Classical Assumptions
E ( i ) =0 i
Var ( i ) = 2 i
Cov ( i , j )=0 i j
Normal Error Model Assumptions
i NID ( 0, 2 ) i=1,2,3, , n
2
N n ( 0 , I ) (multivariate counterpart )
Independent Variables
p
1
INTRODUCTION
Algebra is mathematical shorthand for language, and matrices are
shorthand for algebra. A special value of matrices is that they enable many
mathematical operations, especially those arising in statistics and the
quantitative sciences, to b
Aimee Monique A. Gonzales
Sa humigit kumulang isang oras na paguusap namin ni Mars, nalaman ko ang
maliit na bahagi ng kanyang buhay bilang isang estudyante ng U.P. Una ko siyang
nakilala bilang tagatsek ng aking papel para sa aming unang pagsasanay. Hind
Mathematics 55
LE3 Review
WFQ  AY1516S2
I. Sequences and Series
1. Let an =
ln(1 + en )
.
n
(a) Determine whether the sequence cfw_an +
n=1 is convergent.
+
X
(b) Determine whether the series
an is convergent.
n=1
2. (a) Show that the sequence
1 3 (2n 1)
#Item1
#Prior distribution of lambda curl
x<seq(from=0,to=1,by=0.0001)
y.prior<dgamma(x=x,shape=6,rate=24)
plot(x,y.prior,type="l",col=4,ylim=c(0,5),main="Prior and Posterior Distributions")
#Posterior distribution of lambda curl
y.posterior<dgamma(x=x
ANG ALFABETO AT ORTOGRAPIYANG FILIPINO
Maikling Kasaysayan ng Ortograpiyang Filipino



Bago pa man dumating ang mga Kastila,
may sarili na tayong panitikan, baybayin
o alpabeto na tinatawag na Alibata.
Nang mandayuhan ang mga Indones,
tinangkilik nati
Esta es mi madre Cita. Tiene setenta aos. Ella no tiene un
trabajo debido a su edad. Es de Cavite como yo. Tiene el
pelo blanco y corto y la piel clara. Es bastante gorda y baja
pero muy hermosa.
El se llama Dante. Es mi padre. Tiene setenta y uno aos. El
ES 10 TOWER BUILDING CHALLENGE
Objective:
During this activity, the students are expected to apply the concepts of force, equilibrium, and stability
in building the tallest windresistant tower.
Each group is given one meeting to plan and build the talles