Simple Linear Regression
BIOS 7020: Introductory Biostatistics II Fall 2018
Hanwen Huang, Ph.D.
Department of Epidemiology & Biostatistics
College of Public Health University of Georgia huanghw@uga.edu
Data Summaries (Mean, Median, . . .) Introduction to Probability
Inference for one sample problem: estimates, CIs and tests for
continuous response: mean binary response: proportion
Inference for two sample problem: estimates, CIs and tests for
continuous response: mean binary response: proportion
Sampling Methods and Concepts: A Comprehensive Guide
Sampling Methods and Concepts
Sampling Error
Any difference between the characteristics of a sample and the characteristics of a population. The larger the sampling error, the less representative the sample.
Target Population
A set of elements larger than or different from the population sampled and to which the researcher would like to generalize study findings.
Representative Sample
A sample that “looks like” the population from which it was selected in all respects that are potentially relevant
Read MoreAccrual Accounting: Principles and Applications
Which of the following statements about the accrual-basis of accounting is false?
| Events that change a company’s financial statements are recorded in the periods in which the events occur. |
| Revenue is recognized in the period in which services are performed. |
| Accrual-basis is in accordance with generally accepted accounting principles. |
| Revenue is recorded only when cash is received, and expense is recorded only when cash is paid. |
Statistical Concepts: A Comprehensive Guide to Measures, Tests, and Relationships
Measures of Central Tendency and Variability
Nominal, Ordinal, Interval, and Ratio Scales
Nominal = qualitative number, categories, no numerical relationship between categories, Ordinal = ranking of categories, do not know how much greater each category is, Interval = continuous (magnitude difference between two values can be determined), placement of zero is arbitrary (e.g., Celsius), Ratio = continuous, zero has a natural interpretation
Sampling Distribution
A sampling distribution is a probability
Read MoreMathematics Cheat Sheet: Derivatives, Vectors, Probability, and More
Derivative Table
f (x) = K f ‘(x) = 0
f (x) = x f ‘(x) = 1
f (x) = kx f ‘(x) = k
f (x) = kx + b f ‘(x) = k
f (x) = xn f ‘(x) = nxn-1
f (x) = u (x) + v (x) f ‘(x) = u’ (x) + v ‘(x)
f (x) = u (x) * v (x) f ‘(x) = u (x) * v’ (x) + v (x) * v ‘(x)
f (x) = u (x) / v (x) f ‘(x) = [v (x) * u’ (x) – u (x) * v ‘(x)] / [v (x)]2
f (x) = [u (x)]n f ‘(x) = n[u (x)]n-1 * u’ (x)
f (x) = sin x f ‘(x) = cos x
f (x) = sin [u (x)] f ‘(x) = cos u * u’
f (x) = cos x f ‘(x) = – sin x
f (x) = cos
Understanding Dimensional Metrology and Tolerances in Manufacturing
Dimensional Metrology and Tolerances
Precision and Range
When a set of readings of a measurement has a wide range, it indicates low precision. The difference between the lower and higher values that an instrument is able to measure is called range.
Uncertainty Factors
When determining the uncertainty for a particular measurement device, the common uncertainty factors that should be included are: technician’s error, errors in the measurement technique and method, and random variability of the measurement
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