Sean Collins, Kelly Legacy
Physical Therapy, Plymouth State University
Includes:
Hope to encourage development of:





| Time | Topic | Objective |
|---|---|---|
| 8:30 - 10 | Preliminaries | Causation, reasoning patterns and inference |
| 10 - 10:15 | Break | Sanity - your chance to break away (perhaps unnoticed) |
| 10:15 - 12 | Knowledge for network | Causal network, structure and reasoning |
| 12ish - 1 | Lunch | Hungry, possibly Hangry at this point..... |
| 1 - 2:30 | Case Set 1 | Interpret a set of signs and symptoms; Generate a differential diagnosis |
| 2:30 - 3 | Break | By this point probably not this long - sort of a buffer in the schedule |
| 3 - 4:30 | Case Set 2 | Red flags that warrant a deeper consideration; Generate a differential diagnosis |
As a critical realist I do not fully subscribe to pure or hyper empirical approaches to knowledge; nor do I believe that rationalism or idealism individually provide the necessary framework for knowledge in practice

Relevant to our above discussion:
| Normal | Abnormal | |
|---|---|---|
| Tested Normal | True Normal | False Normal |
| Tested Abnormal | False Abnormal | True Abnormal |
Relevant to disease and symptoms / signs:
| +D | -D | |
|---|---|---|
| +S | True Positive (TP) | False Positive (FP) |
| -S | False Negative (FN) | True Negative (TN) |
For use in probability equations:
| +D | -D | |
|---|---|---|
| +S | a | b |
| -S | c | d |
You have heard, and it is true:
But it is also true that:
Correlation (R) = 0.71
| +D | -D | |
|---|---|---|
| +S | 38 | 11 |
| -S | 12 | 39 |
| +D | -D | |
|---|---|---|
| +S | \(P(+S:+D)\) | \(P(+S:-D)\) |
| -S | \(P(-S:+D)\) | \(P(-S:-D)\) |
Correlation (R) = 0.71
| +D | -D | |
|---|---|---|
| +S | 38(a) | 11(b) |
| -S | 12(c) | 39(d) |
| +D | -D | |
|---|---|---|
| +S | 38(a) | 11(b) |
| -S | 12(c) | 39(d) |
| +D | -D | |
|---|---|---|
| +S | 76 | 22 |
| -S | 24 | 78 |
From: http://getthediagnosis.org/finding/Ottawa_Knee_Rule.htm
Sensitivity 100%; Specificity 49%
| +D | -D | |
|---|---|---|
| +S | 100 | 51 |
| -S | 0 | 49 |
From: http://getthediagnosis.org/diagnosis/Congestive_Heart_Failure.htm#1311
S3 heart sound in dyspneic patients presenting to the ED
Sensitivity 13%; Specificity 99%
Study: JAMA. 2005 Oct 19;294(15):1944-56 PMID: 16234501
| +D | -D | |
|---|---|---|
| +S | 13 | 1 |
| -S | 87 | 99 |
\(+LR=\dfrac{P(+S|+D)}{1-P(-S|-D)}\)
\(+LR= \dfrac{a(b+d)}{b(a+c)}\) = 13
\(-LR=\dfrac{1-P(+S|+D)}{P(-S|-D)}\)
\(-LR= \dfrac{c(b+d)}{d(a+c)}\) = 0.8787879
Computes the probability of disease given the sign/symptom (\(P(D|S)\))
\(P(+D|+S)=\dfrac{P(+S|+D)\cdot P(D)}{P(S)}\)
\(P(+D|+S)\)= 0.9285714
Based on:
But this based on one sample; and this sample may have an elevated \(P(D)\) and \(P(S)\)
The \(P(D)\) and \(P(S)\) are the "priors" - or "baseline" probabilities of the disease and the sign
\(P(+D|+S)=\dfrac{P(+S|+D)\cdot P(D)}{P(S)}\)
For example, for Small Pox, with S = spots:
\(P(+D|+S)\)= 0.01045
But for chicken pox, with S = spots:
\(P(+D|+S)\)= 0.84375
Difference between knowledge (justified true belief) when there is a probabilistic justification and when there is a direct observation (the example of knowing someone in China is making a doll right now, or knowing that someone is taking a breath right now even though you do not see it happening)
Relate to inductive inference and the process of developing general theories about how the world works, of what is true about the world
Inversion of causation -
24% of people having a stroke have difficulty with speech; is not the same and does not mean mean that 24% of people that are having difficulty with speech are having a stroke
expectations about the world - our "baseline" or "apriori" probability
top diseases in terms of prevalence and then the distribution of these conditions among groups of people - looks a lot like "stereotyping"
plot(pressure)
