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31 Cards in this Set

  • Front
  • Back

Modus Ponens

If P implies q and q is true, then p is also true

Modus tollens

If p implies q and q is false, then p is false

Bacon's Idols of the tribe

Tendency of humans to see patterns where none exis

Bacon's Idols of the Cave

Errors caused by personal biases derived from one's culture, upbringing, or personal tastes.

Bacon's Idols of the Forum

Imprecision and disagreement in the definition of natural language terms

Bacon's Idols of the Theatre

False systems of reasoning (logic errors)

Method of Agreement

Co-occurrence of factors


{ABCD} occurs w/ {wxy}


{AEFG} occurs w/ {wtuv}


Method of difference

If we take away the expected cause, does the expected response disappear?

Joint method of difference and agreement

Method of agreement "a sufficient condition"


Method of difference "a necessary condition"


{ABC} occur w/ {xyz}


{ADE} occur w/ {xvw}


{BC} occur with {y,z}


therefore A ==> x V (x ==> A)

Method of Concomitant Variation

Same as joint, but with varying amounts

Method of Residues

{ABC} occur w/ {xyz}


B ==> y


C ==> z


therfore A ==> x

Inductive v. Deductive

Inductive does not guarantee the truth of the conclusion, deductive reasoning cannot provide information that was not already encoded in the premises and rules of logic.

Telford: Fundamental principles of experimental design

Randomization, Replication, Blocking, Orthogonality, Factorial experimentation

What are treatments

The different procedures we want to compare

What are Experimental Units

The things we're applying treatments to

What are Responses

The outcomes of applying treatments to experimental units

What are Measurement Units

Actual objects on which the response is measured

What is inductive inference?

Looking at probability as a fraction of possible events

What is Ddeductive Inference?

Includes everything we know and uses Baysian logic to test

Solomon four-group design

1. divided into 4 groups randomly (two control, two experimental)


2. One set is given pre- and post-tests, the other only postRepli

Risidual

Distance between observed and actual values


Risidual sum of squares: summation of all em (the least squares criterion)

Replicates?

Should vary ALL confounding factors

R^2

1 - RSS/variance


aka - the proportion of the variance explained by the model

Variance Reduction Techniques

Common Random Numbers


Conditional Expectation

Performance Metric

Dimension of an algorithm performance that can be measured (time, space, precision)

Parameter

Any property that affects the value of a performance indicator

Performance Indicator

A quantity associated with a performance metric

Experimental Design Template

- Question


- Performance indicators


- Factors


- Levels


- Trials per design point


- Design points


- Outputs

TSS

sum(y - yavg)^2 = factor1 + ... + factork + SSE

Greater SST?

Larger(SST sum of squares for treatment) give greater the evidence for rejecting the null hypothesis

Sums of Squares Treatment

n sum(mean of treatment - mean of system)^2