Statistics and Variable Types Quiz

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Questions and Answers

Which variable type is represented by the class standing of members relative to each other?

  • Discrete
  • Qualitative (correct)
  • Quantitative
  • Continuous

In the study of 300 households, what is the best description of the variable of interest?

  • Type of residence
  • Number of adults in the household
  • Household income levels
  • Presence of school-age children (correct)

What type of variable is represented by the range of motion of the elbow joint of students?

  • Complete
  • Discrete
  • Qualitative
  • Quantitative (correct)

What is the cumulative frequency for objects aged 50-59 years?

<p>127 (D)</p> Signup and view all the answers

How should the data about decayed teeth be ordered for a frequency table?

<p>From smallest to largest (D)</p> Signup and view all the answers

In the context of Situation B, what is the sample in the study?

<p>The 250 patients admitted last year (C)</p> Signup and view all the answers

What is the relative frequency of objects aged between 40-49 years?

<p>0.2434 (D)</p> Signup and view all the answers

How many objects have an age greater than 69 years?

<p>45 (A)</p> Signup and view all the answers

What is the width of the interval represented by the age class 30-39 years?

<p>10 (A)</p> Signup and view all the answers

What is the percentage of objects aged less than 60 years?

<p>72.7% (C)</p> Signup and view all the answers

Which type of variable is the age of patients seen in a dental clinic?

<p>Continuous Quantitative (C)</p> Signup and view all the answers

What distinguishes discrete variables from continuous variables?

<p>Discrete variables have gaps in possible values. (C)</p> Signup and view all the answers

Which of the following is an example of a qualitative variable?

<p>Socio-economic classification (A)</p> Signup and view all the answers

Which type of qualitative variable can be ranked?

<p>Ordinal (A)</p> Signup and view all the answers

The weights of all the children enrolled in a certain elementary school is considered what?

<p>A population (A)</p> Signup and view all the answers

The number of decayed, missing or filled teeth in children represents which type of variable?

<p>Discrete Quantitative (D)</p> Signup and view all the answers

Which of the following examples illustrates a continuous variable?

<p>The height of a person (D)</p> Signup and view all the answers

What characteristic is true for qualitative variables?

<p>They can be ordered but not always quantified. (C)</p> Signup and view all the answers

Which aspect is NOT a primary concern of statistics?

<p>Reducing costs (D)</p> Signup and view all the answers

What term is used when statistical tools are applied to biological and medical data?

<p>Biostatistics (B)</p> Signup and view all the answers

Which of the following is NOT a source of data mentioned?

<p>Internet databases (B)</p> Signup and view all the answers

In the context of data, what does the term 'variable' refer to?

<p>A characteristic that changes in different contexts (C)</p> Signup and view all the answers

What is an example of data collection through measurement?

<p>Recording temperatures in a lab (D)</p> Signup and view all the answers

Which method might be used to gather information about how patients travel to a clinic?

<p>Conducting a survey (C)</p> Signup and view all the answers

What type of data source includes hospital medical and accounting records?

<p>Internal sources (C)</p> Signup and view all the answers

Which activity is typically NOT associated with statistics?

<p>Creating new medical protocols (B)</p> Signup and view all the answers

How is the width of the class interval determined when given the range and number of classes?

<p>By dividing the range by the number of classes and rounding up (A)</p> Signup and view all the answers

What is commonly used as class intervals for ease of understanding?

<p>Multiples of 5 or 10 (B)</p> Signup and view all the answers

What is the value of k when the number of observations is 189?

<p>9 (C)</p> Signup and view all the answers

In calculating mid-interval, what is the formula used?

<p>(Lower bound + Upper bound) / 2 (A)</p> Signup and view all the answers

If the smallest value is 5 and the largest is 61, what is the range (R)?

<p>56 (D)</p> Signup and view all the answers

What is the cumulative frequency calculated from?

<p>Adding the frequencies of all classes (D)</p> Signup and view all the answers

What is the cumulative relative frequency based on?

<p>Adding the relative frequencies of each class (A)</p> Signup and view all the answers

When considering the class size for the provided age data, what is the chosen width (w) for the intervals?

<p>10 (A)</p> Signup and view all the answers

Which chapter introduces the concepts of statistics, data, and biostatistics?

<p>Chapter 1 (D)</p> Signup and view all the answers

What is the focus of Chapter 3 in the syllabus?

<p>Measures of Central Tendency (A)</p> Signup and view all the answers

Which statistical concept is included in Chapter 4?

<p>Coefficient of Variation (D)</p> Signup and view all the answers

What type of statistical information is discussed in Chapter 6?

<p>Statistical Information Collection in Hospitals (C)</p> Signup and view all the answers

Which chapter focuses on hypothesis testing of population parameters?

<p>Chapter 5 (D)</p> Signup and view all the answers

What is the total mark weight for the final exam?

<p>40 (C)</p> Signup and view all the answers

In the case of attendance, what is the threshold percentage of class hours that a student can miss without being barred from the final exam?

<p>25% (D)</p> Signup and view all the answers

Which method is used for assessing students' understanding of the course material through work outside the classroom?

<p>Quizzes and Participation (A)</p> Signup and view all the answers

Flashcards

Biostatistics Definition

Application of statistical methods to biological sciences and medicine.

Data in statistics

Raw material of statistics; figures resulting from counting or measurements.

Data Sources: Routinely kept records

Existing records (e.g., hospital records, accounting records) with relevant information.

Data Sources: External sources

Published reports, data banks, or research literature containing relevant data.

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Data Source: Surveys

Gathering information through questionnaires to answer specific questions.

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Data Source: Experiments

Data collected through a planned experiment to answer a question.

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Variable Definition

A characteristic that changes among individuals, places, or things.

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Statistics

Study of data collection, organization, summarization, analysis, and drawing inferences.

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Descriptive Statistics

Methods used to summarize and describe the characteristics of a dataset.

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Measure of Central Tendency

A single value that represents the central or typical value in a dataset. Examples: mean, median, and mode.

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Measure of Dispersion

Measures how spread out the data is from the central tendency. Examples: range, variance, and standard deviation.

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Null Hypothesis (H0)

A statement of no effect or no difference between groups being tested.

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Alternative Hypothesis (HA)

A statement that suggests there is an effect or difference between groups.

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Statistical Hypothesis Testing

A procedure to determine whether the null hypothesis can be rejected.

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Attendance Policy

Students missing more than 25% of class hours will not be allowed to take the final exam.

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Quantitative Variable

A variable that can be measured numerically.

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Discrete Variable

A quantitative variable with gaps or interruptions in its values.

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Continuous Variable

A quantitative variable that can take on any value within a range.

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Qualitative Variable

A variable that describes a quality or characteristic, not a numerical measurement.

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Nominal Variable

A qualitative variable with categories that have no inherent order.

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Ordinal Variable

A qualitative variable with categories that have a meaningful order.

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Population

The entire group of items or individuals you're studying.

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Sample

A subset of a population used to represent the whole.

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Frequency Table

A table that summarizes how often each value in a dataset appears. It organizes data into groups and shows the count or percentage for each group.

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Mid-interval

The midpoint of a class interval. It's calculated as the average of the lower and upper limits of the class interval.

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Cumulative Frequency

The total frequency of all the classes up to and including a particular class. It helps understand the number of observations below a specific value.

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Relative Frequency

The proportion of observations in a specific class relative to the total number of observations. It's shown as a decimal or percentage.

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True Class Limits

Adjusted class limits that account for the assumed continuity of data. They are calculated by subtracting 0.5 from the lower limit and adding 0.5 to the upper limit of each interval.

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Histogram

A graphical representation of a frequency distribution. The bars are adjacent to each other, representing the frequencies of each class interval. The height of each bar corresponds to the frequency.

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Class Interval Width (w)

The difference between the upper and lower limits of a class interval. It determines the size of each category in a frequency distribution.

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Number of Classes (k)

The number of categories or groups used to organize data in a frequency distribution. It influences the level of detail in the summary.

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Range (R)

The difference between the largest and smallest values in a dataset. It represents the spread of the data.

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Sturge's Rule

A formula used to estimate the optimal number of classes for a frequency distribution based on the number of observations. It helps balance detail and clarity.

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What is a 'good' class interval?

Class intervals are often chosen as multiples of 5 or 10 for ease of understanding and interpretation. This makes data analysis more accessible.

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What is a cumulative frequency?

The sum of frequencies for all classes up to a specific class. It shows the total number of observations up to that point.

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What is a relative frequency?

The proportion of observations falling within a specific class interval, expressed as a fraction or percentage. It shows the relative importance of each class.

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What is a cumulative relative frequency?

The cumulative sum of relative frequencies for all classes up to a specific class. It shows the proportion of observations up to that point.

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Study Notes

Biostatistics Syllabus

  • First Semester 1446: This syllabus covers a first semester biostatistics course.

Week 2

  • Orientation, Chapter 1: Introduction to Biostatistics: The course introduces statistics, data, biostatistics, variables, populations, and samples.

Week 3

  • Chapter 2: Strategies for Understanding Data Meanings: This week discusses strategies to understand the meanings of data using frequency tables, bar charts, range width of interval, histograms, and polygons.

Week 4

  • Chapter 3: Descriptive Statistics, Measures of Central Tendency: The week will cover descriptive statistics related to measures of central tendency, including mean, median, mode; with a national day holiday included.

Week 5

  • Exercises for Chapter 3: Practical exercises to reinforce learning about descriptive statistics and measures of central tendency.

Week 6

  • Chapter 4: Descriptive Statistics, Measures of Dispersion: This week covers descriptive statistics related to measures of dispersion, including range, variance, coefficient of variation

Week 7

  • Exercises for Chapter 4: Exercises on the topic of descriptive statistics and measures of dispersion

Week 8

  • Mid-term Exam: A mid-term assessment will be conducted for the material covered in the prior weeks.

Week 9

  • Chapter 5: Using Sample Statistics to Test Hypotheses about Population Parameters: The class will explore the use of sample statistics to test hypotheses about population parameters, including null and alternative hypotheses, test statistics, and p-values.

Week 10

  • Exercises for Chapter 5: Practical exercises will reinforce the concepts learned in the previous week, relating to hypothesis testing.

Week 11-15

  • Chapters 6 & 7: Types of Statistical Information and Formulae in Collection of Statistical Data: These weeks cover the types of statistical information routinely collected in hospitals (monthly and annually) and the calculation of rates, percentages used for statistical data collection. Excel program practice is included.

Assignments and Exams

  • Exams: The course will have a mid-term and a final exam.
  • Class and Home Work: Includes class-based exercises and/or homework to reinforce learning.
  • Quizzes and Participation: Weekly quizzes and participation are part of the course requirements.
  • Project: A project is also assigned for evaluation.

Attendance Policy

  • Students missing more than 25% of the total class hours will not be permitted to take the final exam.

Additional Topics (Chapters 1-5):

  • Surveys and Experiments: How these data collection methods are employed.
  • Variables: A characteristic that takes on different values. Explores quantitative and qualitative variables, including discrete and continuous types.
  • Population and Samples: Definitions and examples.

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