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Questions and Answers
A researcher is investigating the effectiveness of a new rehabilitation protocol by categorizing patients into groups based on their primary diagnosis: 'Spinal Cord Injury,' 'Traumatic Brain Injury,' and 'Stroke.' What type of data is being used for this categorization?
A researcher is investigating the effectiveness of a new rehabilitation protocol by categorizing patients into groups based on their primary diagnosis: 'Spinal Cord Injury,' 'Traumatic Brain Injury,' and 'Stroke.' What type of data is being used for this categorization?
- Ordinal data
- Continuous data
- Interval data
- Nominal data (correct)
In a study evaluating patient satisfaction, participants are asked to rate their experience on a scale of 1 to 7, with 1 being 'extremely dissatisfied' and 7 being 'extremely satisfied.' This type of data is best described as:
In a study evaluating patient satisfaction, participants are asked to rate their experience on a scale of 1 to 7, with 1 being 'extremely dissatisfied' and 7 being 'extremely satisfied.' This type of data is best described as:
- Ratio data, assuming that a score of 0 would indicate a complete absence of satisfaction.
- Ordinal data, given that the numbers represent a ranked order of satisfaction but the intervals may not be equal. (correct)
- Nominal data, because the numbers are simply labels for different satisfaction levels.
- Continuous data, as the scale represents a range of possible satisfaction levels.
Which of the following scenarios involves the use of continuous data?
Which of the following scenarios involves the use of continuous data?
- Categorizing patients according to their insurance provider (e.g., 'Medicare,' 'Medicaid,' 'Private').
- Ranking patients based on the severity of their symptoms, from 'mild' to 'severe'.
- Measuring the time it takes for a patient to complete a standardized functional task. (correct)
- Assigning patients to different treatment groups labeled as 'A', 'B', and 'C'.
A physical therapist records a patient's pain level before and after an intervention using a visual analog scale (VAS) ranging from 0 to 10, where 0 is 'no pain' and 10 is 'worst pain imaginable.' While the therapist treats this data as continuous for analysis, what is a potential limitation of treating VAS scores as truly continuous data?
A physical therapist records a patient's pain level before and after an intervention using a visual analog scale (VAS) ranging from 0 to 10, where 0 is 'no pain' and 10 is 'worst pain imaginable.' While the therapist treats this data as continuous for analysis, what is a potential limitation of treating VAS scores as truly continuous data?
A researcher wants to determine if there is a relationship between the type of treatment a patient receives (Treatment A vs. Treatment B) and whether they experience a specific side effect (Yes/No). Which statistical analysis would not be appropriate due to the data types involved?
A researcher wants to determine if there is a relationship between the type of treatment a patient receives (Treatment A vs. Treatment B) and whether they experience a specific side effect (Yes/No). Which statistical analysis would not be appropriate due to the data types involved?
A researcher finds a statistically significant difference between two groups using an ANOVA, with a p-value of 0.03. To understand the practical importance of this difference, which measure should they primarily consider?
A researcher finds a statistically significant difference between two groups using an ANOVA, with a p-value of 0.03. To understand the practical importance of this difference, which measure should they primarily consider?
In a clinical trial, a new drug reduces the risk of a certain complication from 10% to 5%. If the cost to treat 100 patients with the new drug is $5000, what additional information is needed to determine if the new drug is a cost-effective intervention?
In a clinical trial, a new drug reduces the risk of a certain complication from 10% to 5%. If the cost to treat 100 patients with the new drug is $5000, what additional information is needed to determine if the new drug is a cost-effective intervention?
A study reports a new treatment reduces the risk of heart attack by 30% compared to a placebo. Which additional piece of information is most crucial for interpreting the clinical significance of this finding?
A study reports a new treatment reduces the risk of heart attack by 30% compared to a placebo. Which additional piece of information is most crucial for interpreting the clinical significance of this finding?
In evaluating the effectiveness of a new educational program, researchers find a statistically significant improvement in test scores (p < 0.05) but a very small effect size (Cohen's d = 0.1). What is the most appropriate interpretation of these results?
In evaluating the effectiveness of a new educational program, researchers find a statistically significant improvement in test scores (p < 0.05) but a very small effect size (Cohen's d = 0.1). What is the most appropriate interpretation of these results?
A pharmaceutical company is testing a new drug to prevent strokes. In the control group, 8% of patients had a stroke, while in the treatment group, only 4% had a stroke. What is the Relative Risk Reduction (RRR)?
A pharmaceutical company is testing a new drug to prevent strokes. In the control group, 8% of patients had a stroke, while in the treatment group, only 4% had a stroke. What is the Relative Risk Reduction (RRR)?
A public health campaign aims to reduce smoking rates. Before the campaign, 20% of the population smoked. After the campaign, the smoking rate dropped to 15%. What is the Absolute Risk Reduction (ARR)?
A public health campaign aims to reduce smoking rates. Before the campaign, 20% of the population smoked. After the campaign, the smoking rate dropped to 15%. What is the Absolute Risk Reduction (ARR)?
A hospital implements a new hand-washing protocol to reduce infection rates. Before the protocol, the infection rate was 10%. After implementation, it dropped to 2%. What is the Number Needed to Treat (NNT) to prevent one infection, assuming the protocol is the 'treatment'?
A hospital implements a new hand-washing protocol to reduce infection rates. Before the protocol, the infection rate was 10%. After implementation, it dropped to 2%. What is the Number Needed to Treat (NNT) to prevent one infection, assuming the protocol is the 'treatment'?
Consider a scenario where a new therapy reduces the risk of a disease from 8% to 6%. While the p-value is less than 0.05, an expert argues against its widespread adoption, saying it's not clinically significant. Which statistic would best support the expert's argument?
Consider a scenario where a new therapy reduces the risk of a disease from 8% to 6%. While the p-value is less than 0.05, an expert argues against its widespread adoption, saying it's not clinically significant. Which statistic would best support the expert's argument?
In hypothesis testing, what critical consideration differentiates a Type I error from a Type II error?
In hypothesis testing, what critical consideration differentiates a Type I error from a Type II error?
A researcher observes a dataset where the mean, median, and mode are substantially different. What can be inferred about the distribution of the data?
A researcher observes a dataset where the mean, median, and mode are substantially different. What can be inferred about the distribution of the data?
What is the primary distinction between interval and ratio data?
What is the primary distinction between interval and ratio data?
In the context of research, which measure of reliability assesses the consistency of measurements taken by different observers?
In the context of research, which measure of reliability assesses the consistency of measurements taken by different observers?
How does increasing the sample size generally affect the width of a confidence interval, assuming all other factors remain constant?
How does increasing the sample size generally affect the width of a confidence interval, assuming all other factors remain constant?
A researcher aims to study the effect of a new drug on blood pressure. To account for potential confounding variables, which statistical method should they employ?
A researcher aims to study the effect of a new drug on blood pressure. To account for potential confounding variables, which statistical method should they employ?
Which of the following statistical tests is most appropriate for analyzing the association between two categorical variables?
Which of the following statistical tests is most appropriate for analyzing the association between two categorical variables?
What is the crucial role of 'intention-to-treat' analysis in clinical trials?
What is the crucial role of 'intention-to-treat' analysis in clinical trials?
Assuming a normal distribution, approximately what percentage of data falls outside two standard deviations from the mean?
Assuming a normal distribution, approximately what percentage of data falls outside two standard deviations from the mean?
A confidence interval is calculated to be (2.5, 4.5) for the mean of a population. What is the correct interpretation of this interval?
A confidence interval is calculated to be (2.5, 4.5) for the mean of a population. What is the correct interpretation of this interval?
What distinguishes ordinal data from nominal data?
What distinguishes ordinal data from nominal data?
In the context of statistical analysis, how can researchers mitigate the influence of confirmation bias?
In the context of statistical analysis, how can researchers mitigate the influence of confirmation bias?
How does a high standard deviation affect the interpretation of a dataset's distribution?
How does a high standard deviation affect the interpretation of a dataset's distribution?
In the context of appraising research results, what is the significance of assessing whether the groups were similar at baseline?
In the context of appraising research results, what is the significance of assessing whether the groups were similar at baseline?
What is the unique utility of the Intraclass Correlation Coefficient (ICC) in reliability analysis?
What is the unique utility of the Intraclass Correlation Coefficient (ICC) in reliability analysis?
In the context of research study appraisal, which of the following scenarios would MOST compromise the validity of inferential statistics used to compare two treatment groups?
In the context of research study appraisal, which of the following scenarios would MOST compromise the validity of inferential statistics used to compare two treatment groups?
A study reports high inter-rater reliability for a new goniometric measurement technique used by physical therapists. Which of the following interpretations of this finding is MOST accurate?
A study reports high inter-rater reliability for a new goniometric measurement technique used by physical therapists. Which of the following interpretations of this finding is MOST accurate?
When is it MOST appropriate to report the median and mode, rather than the mean and standard deviation, as descriptive statistics for a dataset?
When is it MOST appropriate to report the median and mode, rather than the mean and standard deviation, as descriptive statistics for a dataset?
In a clinical trial comparing a new treatment to a standard treatment, the calculated Number Needed to Treat (NNT) is 25. What is the MOST accurate interpretation of this value?
In a clinical trial comparing a new treatment to a standard treatment, the calculated Number Needed to Treat (NNT) is 25. What is the MOST accurate interpretation of this value?
A researcher is evaluating the reliability of a new pain assessment tool. They want to assess how consistently the same patient reports their pain level over a series of repeated measurements within a single session, assuming no actual change in their pain. Which type of reliability is MOST relevant to this assessment?
A researcher is evaluating the reliability of a new pain assessment tool. They want to assess how consistently the same patient reports their pain level over a series of repeated measurements within a single session, assuming no actual change in their pain. Which type of reliability is MOST relevant to this assessment?
A researcher aims to minimize bias in a study comparing the effectiveness of two rehabilitation protocols. Which strategy is MOST effective in achieving this goal?
A researcher aims to minimize bias in a study comparing the effectiveness of two rehabilitation protocols. Which strategy is MOST effective in achieving this goal?
In the context of measurement scales, which characteristic uniquely distinguishes ratio data from interval data?
In the context of measurement scales, which characteristic uniquely distinguishes ratio data from interval data?
A newly developed diagnostic test for carpal tunnel syndrome demonstrates high sensitivity but low specificity. What are the implications of these characteristics in a clinical setting?
A newly developed diagnostic test for carpal tunnel syndrome demonstrates high sensitivity but low specificity. What are the implications of these characteristics in a clinical setting?
A physical therapist is reviewing a research article that reports an intraclass correlation coefficient (ICC) of 0.25 for the inter-rater reliability of a new functional assessment tool. How should the therapist interpret this value?
A physical therapist is reviewing a research article that reports an intraclass correlation coefficient (ICC) of 0.25 for the inter-rater reliability of a new functional assessment tool. How should the therapist interpret this value?
In assessing the applicability of a research study to a specific clinical setting, what factor should a clinician consider MOST critical?
In assessing the applicability of a research study to a specific clinical setting, what factor should a clinician consider MOST critical?
A researcher measures a patient's range of motion 3 times in a single session. What aspect of reliability is the researcher measuring?
A researcher measures a patient's range of motion 3 times in a single session. What aspect of reliability is the researcher measuring?
Which of the following study designs is MOST effective in minimizing the risk of selection bias?
Which of the following study designs is MOST effective in minimizing the risk of selection bias?
A study reports a 95% confidence interval (CI) for the mean difference in pain scores between a new drug and a placebo group. The CI ranges from -0.5 to 1.2. What is the MOST appropriate conclusion?
A study reports a 95% confidence interval (CI) for the mean difference in pain scores between a new drug and a placebo group. The CI ranges from -0.5 to 1.2. What is the MOST appropriate conclusion?
Why is the Fahrenheit scale not considered a ratio scale?
Why is the Fahrenheit scale not considered a ratio scale?
In the context of data types, which type allows for ranking and ordering of data points, but the intervals between the points are not necessarily equal?
In the context of data types, which type allows for ranking and ordering of data points, but the intervals between the points are not necessarily equal?
Flashcards
Nominal Data
Nominal Data
Categories or names with no inherent order.
Continuous Data
Continuous Data
Numerical data with meaningful, divisible units and infinite possibilities.
Ordinal Data
Ordinal Data
Numerical data representing a ranking or order, with specific values and no in-between values.
Scale/Continuous values
Scale/Continuous values
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Meaningful Units
Meaningful Units
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Effect Size
Effect Size
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P-value
P-value
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Number Needed to Treat (NNT)
Number Needed to Treat (NNT)
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Relative Risk Reduction (RRR)
Relative Risk Reduction (RRR)
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Absolute Risk Reduction (ARR)
Absolute Risk Reduction (ARR)
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Type I Error
Type I Error
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Normal Distribution
Normal Distribution
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Skewed Distribution
Skewed Distribution
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Mean
Mean
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Standard Deviation
Standard Deviation
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Median
Median
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Range
Range
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Confidence Interval (CI)
Confidence Interval (CI)
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Interval Data
Interval Data
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Continuous (Ratio) Data
Continuous (Ratio) Data
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Reliability
Reliability
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Intra-individual Reliability
Intra-individual Reliability
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Intra-rater Reliability
Intra-rater Reliability
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Inter-rater Reliability
Inter-rater Reliability
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Discrete Data
Discrete Data
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Ratio Data
Ratio Data
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Accuracy
Accuracy
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Intraclass Correlation Coefficient (ICC)
Intraclass Correlation Coefficient (ICC)
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Descriptive Statistics
Descriptive Statistics
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Measures of Variability/Dispersion
Measures of Variability/Dispersion
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Similarity at Baseline
Similarity at Baseline
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Inferential Statistics
Inferential Statistics
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Study Notes
- Statistical analysis must align with data types for valid results.
Data Types
- Nominal data categorizes by name, order is irrelevant (e.g., Treatment A/B, male/female).
- Continuous data is numerical with infinite possible values (e.g., range of motion). Units have meaning.
- Ordinal data ranks with specific numbers and no in-between values; common in surveys (e.g., Likert scale).
- Discrete data counts occurrences, with no subdivision possible. Limited number of possibilities, can sometimes be continuous if large range.
- Ratio data, a type of continuous data, features a true zero point (e.g., 0mg), unlike temperatures in Fahrenheit.
Reliability
- Reliability is the ability to replicate measurements consistently regardless of correctness; accuracy means getting the correct result.
- Reliability depends on the patients, raters, and timing of measurement.
Intra-individual Reliability
- Intra-individual reliability refers to an individual's consistency in physiological responses when measured perfectly.
Within- and Between-Session Reliability
- Intra-session reliability occurs within one session, while inter-session occurs across separate sessions.
Intra-rater Reliability
- Intra-rater reliability refers to a single rater's reliability, assessed within or between sessions.
Inter-rater Reliability
- Inter-rater reliability compares different raters, whether humans or instruments, ensuring consistent results.
- Intraclass correlation coefficients (ICCs) quantify inter-rater reliability; values near 1.0 indicate high agreement.
Appraising Research Study Results in Evidence-Based Practice
- Descriptive statistics offer an overview of typical values and variability, including mean, median, mode, range, and standard deviation.
- Report mean and standard deviation for normal distributions, and median/mode for skewed distributions.
- Measures of variability show score dispersion through range or standard deviation.
- Similarity at baseline is important. Randomization helps with similarity, so differences at baseline can cause bias during results.
- Outcome measures should be reliable and valid.
- Intra-rater (same therapist) and inter-rater reliability (between therapists) are important.
- Reliability is expressed via correlation; intraclass correlation coefficient (ICC) is preferred for continuous data.
- Confidence Intervals (CIs) show the true mean range, usually at 95% or 90%; narrow CIs mean higher clinical utility, crossing zero indicates non-significance.
- Inferential statistics uses probability to interpret differences.
- P-values show the probability a difference occurred by chance; less than 0.05 is significant.
- Clinical relevance goes beyond statistical significance, it must be clinically important; assess magnitude using effect size and number needed to treat.
- Types of data are defined from the measurement tool, scales include nominal, ordinal, ratio, and interval.
- Statistical methods for reliability should be based on data type.
- Common tests: Chi-square, T-tests, ANOVA, repeated measures ANOVA, and ANCOVA, plus intention-to-treat analysis.
- Table interpretation gives an initial study outcome impression.
- Appraisal questions evaluate if groups were similar at baseline, if outcome measures were reliable/valid, if CIs and statistics were applied, and if treatment effects were clinically relevant.
- Appraising results of a research study decides if the study is applicable and of sufficient quality to guide clinical decision-making.
Confirmation Bias
- Confirmation bias is seeking information confirming existing beliefs.
- Researchers may have bias towards treatment that supports their belief.
- To reduce confirmation bias, use blinding.
Distribution of Data
- Normal Distribution: Symmetrical, bell-shaped curve where majority of data points cluster around the mean. Mean, median, and mode are all the same. 68% within one standard deviation, 95% within two, and 99.7% within three standard deviations from the mean.
- Skewed Distributions: Not symmetrical. Positively skewed (right skew): Tail is on right side (e.g., income distribution). Negatively skewed (left skew): Tail is on the left side (e.g., age at retirement).
Descriptive Statistics
- Descriptive statistics helps to summarize and describe main features of a dataset.
- Mean: The arithmetic average of all data points in a dataset.
- Standard Deviation: Measures how spread out values are. High = Data points are spread out widely from the mean, while low = Data points that are close to the mean.
- Median: The middle value when data points are arranged in ascending or descending order.
- Range: The difference between the highest and lowest values in a dataset. It is a measure of the spread of the data.
Confidence Intervals (CIs)
- A confidence interval is a range of values that is likely to contain the population parameter with a certain level of confidence (usually 95%).
- Example: A 95% CI for a mean is (5.0, 7.0) - we are 95% confident that the true population mean lies between 5.0 and 7.0..
Types of Data
- Nominal Data: Represents categories without a specific order. Example includes gender, blood type, ethnicity.
- Ordinal Data: Represents categories in a meaningful order but unequal intervals between categories. Example includes pain scale, education level.
- Likert Data: Used in surveys; level of agreement (e.g., strongly agree, agree, neutral, disagree, strongly disagree).
- Rankin Scale: Measures degree of disability in daily life - 0-6 (no symptoms to death).
- Continuous (Ratio) Data: Has meaningful, ordered intervals and a true zero point (e.g., weight, height, age).
- Interval Data: Has ordered categories with equal intervals but no true zero point (e.g., temperature in Celsius or Fahrenheit).
Reliability
- Reliability refers to the consistency or stability of a measurement tool or instrument.
- Types: Intra-individual (same individual over time); intra-rater (same rater across instances); inter-rater (different raters).
- Quantifying Reliability: Intraclass Correlation Coefficient (ICC). Statistic that ranges from 0 to 1, with values closer to 1 indicating better reliability.
Hypothesis Testing (NHST)
- NHST tests a null hypothesis (H₀) against an alternative hypothesis (H₁). The goal is to determine whether there is enough statistical evidence to reject the null hypothesis.
- Type I Error (False Positive): Null hypothesis rejected when it is true.
- Type II Error (False Negative): Null hypothesis is not rejected when it is actually false.
Inferential Statistics
- Effect Size: Quantifies magnitude of difference between groups/strength of relationships. Common measures include Cohen’s d / Pearson's r.
- P-values: Probability of observing an extreme result, assuming the null hypothesis is true.
Key Statistical Measures
- Number Needed to Treat (NNT): Number of patients to treat for one to benefit; lower values indicate more effective treatment.
- Relative Risk Reduction (RRR): Percentage reduction in risk of an event between experimental and control groups
- Absolute Risk Reduction (ARR): Absolute difference in event rates between treatment and control groups.
Study Tips
- Understand Differences: Between nominal and ordinal data, or Type I and Type II errors.
- Practice Problems: Use sample data sets to calculate descriptive statistics, confidence intervals, and reliability coefficients.
- Review Key Formulas: For effect size, p-values, and risk measures like NNT, RRR, and ARR.
- Apply Concepts to Real Data: Apply concepts to real-life or hypothetical research studies.
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Description
Exploration of statistical analysis, emphasizing the alignment of analysis methods with data types for ensuring valid results. Discussion of nominal, continuous, ordinal, discrete, and ratio data. Importance of reliability and accuracy in measurements, including intra-individual reliability.