week 1: design/statistical power & fCM Flashcards

section 1 (65 cards)

1
Q

What is statistical power?

A

Statistical power is the probability of correctly rejecting the null hypothesis when it is false. It reflects the ability of a study to detect an effect if one exists.

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2
Q

What are the four key components affecting statistical power?

A
  1. Effect size
  2. Sample size (n)
  3. Significance level (α)
  4. Variance (σ²)
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3
Q

How does increasing sample size affect power?

A

It increases power by reducing standard error, making it easier to detect a true effect.

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4
Q

What is the relationship between power and Type II error (β)?

A

Power = 1 - β. A higher power means a lower probability of a Type II error (failing to reject a false null).

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5
Q

Why is power analysis important in experimental design?

A

To ensure enough participants/data are collected to detect a meaningful effect, avoiding underpowered (wasted) or overpowered (unethical) studies.

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6
Q

What is flow cytometry used for?

A

To measure physical and chemical characteristics of cells or particles, typically cell size, complexity, and fluorescence.

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7
Q

What are the main components of a flow cytometer?

A
  • Fluidics system (guides cells through the laser)
  • Optics system (lasers and detectors)
  • Electronics system (signal conversion and data analysis)
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8
Q

What is forward scatter (FSC) vs side scatter (SSC)?

A
  • FSC correlates with cell size
  • SSC correlates with granularity/internal complexity
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9
Q

What is gating in flow cytometry?

A

Selecting specific cell populations from data based on scatter or fluorescence to analyse subsets.

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10
Q

How is fluorescence used in flow cytometry?

A

Fluorescent-labelled antibodies bind specific cell markers; lasers excite the fluorophores which emit light detected as a signal.

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11
Q

What is the null hypothesis (H₀) when comparing male and female heights?

A

That there is no difference in height between men and women.

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12
Q

What is the alternative hypothesis (H₁) in the height comparison example?

A

That men’s height is not equal to women’s height.

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13
Q

What key considerations are needed when designing a study comparing two groups?

A

Sample size (N), data collection method (e.g., measured vs self-reported), inclusion/exclusion criteria (age, ethnicity, disability), and randomisation.

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14
Q

What type of data analysis is typically used in group comparisons like male vs female height?

A

Descriptive stats (mean/median), distribution plots (histograms), and statistical tests (e.g., t-test).

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15
Q

What defines a manipulative experiment?

A

It involves deliberately altering one or more factors to explore cause and effect.

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16
Q

What are examples of manipulative experiments?

A

Testing DNA recovery in wet vs dry conditions

Measuring cancer cell counts under varying drug concentrations

Comparing DNA yield from different extraction methods

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17
Q

What defines an observational experiment?

A

Observes variables in natural conditions without manipulation.

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18
Q

Give examples of observational research questions.

A

Effects of smoking on lung function

Identifying cancer survival biomarkers

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19
Q

Why is statistical power important in clinical research?

A

To ensure that the study can reliably detect a real difference, avoiding wasted resources or ethical risks.

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20
Q

What happens if the sample size is too small?

A

You may fail to detect a true effect (Type II error).

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21
Q

What happens if the sample size is too large?

A

Subjects may be unnecessarily exposed to harm or burden.

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22
Q

What is the purpose of power analysis in study design?

A

To calculate the minimum number of samples needed to detect an effect with confidence, balancing ethical and statistical needs.

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23
Q

What are the four types of power analysis?

A

A priori – before the study (to plan sample size)

Post hoc – after the study (not recommended)

Compromise – adjusts power, N, and alpha simultaneously

Sensitivity – determines minimum effect size detectable with given N

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24
Q

Why is post-hoc power analysis discouraged?

A

Because a non-significant result doesn’t confirm the null hypothesis; post-hoc assumes an effect exists without evidence.

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25
What is effect size (ES)?
A measure of the magnitude of a difference or association, independent of sample size.
26
How is ES related to power?
Larger effect sizes increase statistical power for a given sample size.
27
What is β (beta) in hypothesis testing?
The probability of incorrectly retaining (failing to reject) a false null hypothesis (Type II error).
28
What is statistical power in hypothesis testing?
The probability of correctly rejecting a false null hypothesis (Power = 1 - β).
29
Which three values are interrelated in a power calculation?
Effect size (ES), sample size (N), and power (1 - β). Knowing any two allows calculation of the third.
30
What are typically fixed or set in power calculations?
Significance level (α) and desired statistical power (e.g., 80% or 0.8).
31
What is considered best practice when reporting experimental findings?
Report effect sizes, p-values, and conduct (and report) power analyses to confirm sufficient study power.
32
What does a p-value indicate in hypothesis testing?
The probability that observed results occurred by chance alone if the null hypothesis is true.
33
Why do p-values heavily depend on sample size?
Larger samples can detect smaller differences, making small effects appear statistically significant (low p-value), while smaller samples may fail to detect even moderate effects.
34
What is a Type I error (α)?
Incorrectly rejecting a true null hypothesis (false positive).
35
Provide examples of common effect size measures.
Cohen’s d: difference between two means relative to the pooled standard deviation. Pearson's r: strength of correlation between two variables.
36
Why is randomisation important in experiments?
It reduces selection bias, ensuring each participant has an equal chance of being in each group.
37
Define 'blocking' in experimental design.
Grouping replicates or subjects with similar characteristics together to control for variability and improve accuracy.
38
What are manipulative experiments?
Experiments where one or more factors are deliberately altered to investigate cause and effect.
39
What are observational experiments?
Studies observing natural occurrences without deliberate intervention, identifying relationships between variables.
40
What is an a priori power analysis?
Conducted before the study to determine required sample size to achieve desired power.
41
When would you conduct a post-hoc power analysis?
After study completion, to check if the expected and measured effect sizes align, though it is generally discouraged.
42
What is a sensitivity power analysis?
Used when sample size is fixed (due to constraints) to find the minimal detectable effect (MDE) or minimum clinically important difference (MCID).
43
How does variance (standard deviation, σ) affect statistical power?
Higher variance reduces power (makes it harder to detect true effects); lower variance increases power.
44
What's the difference between ordinal and nominal data?
Ordinal data has inherent order (e.g., rankings); nominal data has no order (e.g., nationality).
45
What distinguishes discrete from continuous data?
Discrete data are counts (integers), while continuous data can be measured precisely (decimals).
46
Define accuracy in measurements.
How close measurements are to the true value.
47
Define precision in measurements.
How consistently measurements are repeated under identical conditions.
48
What is the Coefficient of Variation (CoV)?
A percentage measure of variability relative to the mean, calculated as (SD ÷ mean) × 100%.
49
When is a one-tailed test used?
When you have a directional hypothesis (expecting results in only one direction).
50
Why might a two-tailed test be preferred?
It detects effects in both directions, reducing risk of missing unexpected outcomes.
51
Interpret an odds ratio (OR) greater than 1.
Indicates increased odds (or risk) of the outcome associated with exposure.
52
What does a large t-statistic indicate?
Greater likelihood that two sample means differ significantly.
53
If p-value is < 0.05, what conclusion do we draw?
Reject the null hypothesis (significant difference).
54
Define null hypothesis (H₀).
Assumes no difference or relationship.
55
Define alternative hypothesis (H₁).
Assumes a difference or relationship exists.
56
What’s a p-value?
Probability results are due to chance alone.
57
Define mean.
Arithmetic average of a dataset.
58
59
When to use median over mean?
Skewed data (non-symmetrical distribution).
60
Characteristics of normal distribution?
Mean = median = mode; symmetrical; ~95% data within ±2 SD.
61
Choosing Statistical Tests: Comparing Two Groups?
t-test
62
Choosing Statistical Tests: Comparing Three or More Groups?
ANOVA (Analysis of Variance)
63
Choosing Statistical Tests: Comparing categorical data?
Chi-squared test
64
Consequences of too few samples?
Insufficient power; possibly false negative results.
65
Consequences of too many samples?
Ethical concerns (unnecessary participant burden or exposure).