1. The document discusses measurement scales and selecting appropriate statistical tests based on the scale of measurement. It defines nominal, ordinal, interval, and ratio scales and provides examples. 2. Descriptive statistics like measures of central tendency differ depending on the scale - nominal uses mode, ordinal uses median, interval/ratio uses mean. 3. Inferential tests also depend on scale - parametric tests are for interval and ratio, nonparametric for nominal and ordinal. 4. The document provides a process for researchers to determine the appropriate statistical analysis based on their study design and variable measurement scales.

1. FLORES, JAYNES
FAMERONAG
MEASUREMENT SCALE AND
STATISTICAL TESTS

2. PRELIMINARIES
1. PRAYER
2. GREETINGS
3. CHECKING OF
ATTENDANCE
4. ETC.

3. CONTENT STANDARD: The learners
demonstrate an understanding of the
data collection and analysis.
PERFORMANCE STANDARD:
The learner is able to gather and
analyze data with intellectual honesty,
using suitable techniques.

4. Learning Competency: Uses statistical
techniques to analyze data – study of
differences and relationships limited for
bivariate analysis (CS_RS12_IId-g-3)
OBJECTIVES:
A. Differentiate the four types of measurement scale;
B. Classify the type of measurement scale for the given
data; and
C. Plan and decide the type of test (parametric or
nonparametric) and measures of central tendency
based from the measurement scale/s or type of data
involved.

5. ELICIT
Statistical
Tests/Tools
Descriptive Inferential
range
t-test
frequency
percentage
Chi-square test
Spearman rho
ANCOVA
percentile
mean
median

6. ELICIT
Statistical
Tests/Tools
Descriptive Inferential
range /
t-test /
frequency /
percentage /
Chi-square test /
Spearman rho /
ANCOVA /
percentile /
mean /
median /

7. ELICIT
1
• The level of data (nominal,
ordinal, interval or ratio).
2
• The number of groups/samples in your
research study.
3
• Were the data collected from independent
groups/samples or from related groups?
4
• The characteristics of the data (i.e.
distribution of the data)
HOW TO SELECT THE
STATISTICAL
TEST YOU NEED TO USE?

8. First things first.
Know what to know
first.

9. ENGAGE
Levels of Measurement
ORDINALNOMINAL
INTERVAL
RATIO

10. A. NOMINAL SCALE
• Used for labelling variables
• A variable with no quantitative value
• Discrete / Categorical data
• No order or distance observed
Examples:
eye color, business type, religion, civil
status, gender, yes or no response, ethnic group,
and race

11. B. ORDINAL SCALE
• Has two or more categories that can be ranked.
• Discrete data
• Has order or level
Examples:
Honor roll, order of agreement, and level of
happiness

12. C. INTERVAL SCALE
• Has equal units of measurement
• Has no TRUE zero.
• Can be added and subtracted but cannot
be multiplied and divided
• Example: temperature

13. D. RATIO SCALE
• Has a characteristic of an interval but has
TRUE ZERO
• All statistical operations can be
performed.
• Can be added, subtracted, multiplied and
divided.
Examples:
Height, weight, scores, speed,
distance, volume, etc.

14. EXPLORE
GROUP TASK
Classify the underlined research
data/variable as nominal, ordinal, interval or
ratio. Write N for nominal, O for ordinal, I for
interval, and F for ratio.
1-3. Is there as significant relationship
between the number of hours spent in
playing Mobile Legends and seriousness
/severity of eye problems?

15. EXPLORE
3-4. What is the demographic profile of
the respondents in terms of:
a. Ethnicity; and
b. Age?
5. Is there a significant difference in
the Mean Percentage Score (MPS) of
experimental and control group?

16. Rubric:
5 – Excellent – All variables are
classified accurately.
4 – Very Satisfactory – Four out of five
variables are classified accurately.
3 – Satisfactory – Three out of five
variables are classified accurately.
2 – Fair – Only two out of five variables
are classified accurately.
1 – Needs Improvement – One or no
variables are classified accurately.

17. EXPLORE
INDIVIDUAL TASK
Direction: Write N if the variable is nominal; O for ordinal; I for
interval; and R for ratio.
1. Educational attainment
2. Size of shoes
3. Level of Agreement
4. Temperature
5. Number of children
6. Political affilitiation
7. Monthly income
8. Number of Hours exposed to Coronavirus Infected Person
9. Grade Point Average )GPA)
10. Pet type

18. EXPLAIN

19. EXPLAIN
Measurement Before Stat
Analysis
Suggested Tune: Catriona (Matthaios)
Statistical tool to use in research depends
on measurement scale (Yes Sir!)
Classified as nominal, ordinal, interval and
ratio (scale)
Nominal for quali data like sex and race
And if compared from the rest, no order or
distance besh.
Statistical tool to use in research depends
on measurement scale (Yes Sir!)
Classified as nominal, ordinal, interval and
ratio (scale)
Ordinal for rank, order or intensity
And in research it exists, like job rank or
honor roll.
Statistical tool to use in research
depends on measurement scale (Yes
Sir!)
Classified as nominal, ordinal, interval
and ratio (scale)
Interval does not have a true zero
Can be added or subtracted like
temperature scale.
Statistical tool to use in research
depends on measurement scale (Yes
Sir!)
Classified as nominal, ordinal, interval
and ratio (scale)
Ratio has true zero like height, weight
and test scores
Unlike interval can be… multiplied or
divided.

20. ELABORATE
TYPES OF VARIABLE BEST MEASURE OF CENTRAL
TENDENCY
NOMINAL
Mode
ORDINAL
Median
INTERVAL/RATIO (NOT SKEWED)
Mean
INTERVAL/RATION (SKEWED)
Median

21. PARA OR NON-PARA
(INFERENTIAL)
PARAMETRIC NONPARAMETRIC
INTERVAL NOMINAL
RATIO ORDINAL

24. Best measure of central tendency depends on these
scales (Yes Sir!)
Classified as nominal, ordinal, interval and ratio (scale)
Best for N is mode, For O is median
For I is mean or median and for R, mean/median too.
Inferential statistics also depends on these scales (Yes
Sir!)
Classified as nominal, ordinal, interval and ratio (scale)
Interval and ratio use parametric tests.
Therefore ordinal and nominal for non parametric.

25. EVALUATE
Direction: Write the letter of the correct answer on the space
provided before each number.
1. Which of the following variables is/are discrete?
I. Nominal
II. Ordinal
III. Interval
IV. IV. Ratio
a. I only c. III and IV only
b. I and II only d. I, II, III and IV

26. 2. Which of the following measurement scales has a true
zero?
a. Nominal c. Ordinal
b. Interval d. Ratio
3. Which of the following does not provide mean as a
measure of central tendency?
a. Nominal b. Ordinal c. Interval d. Ratio
4. Which of the following can be added and subtracted?
a. Nominal b. Ordinal c. Interval d. Ratio
EVALUATE

27. EVALUATE
5. Which of the following is classified as nominal?
I. Hair Color
II. Nationality
III. Religious Affiliation
IV. Military ranks
a. I only c. IV only
b. b. II and III only d. I, II and III only
6. Which of the following is classified as ordinal?
a. Stages of Cancer/Severity c. Volume
b. Temperature d. Civil Status

28. EVALUATE
7. Which of the following is classified as interval?
a. Level of Sadness
b. Temperature
c. Size of shoes
d. Political Affiliation
8. What is the best measure of central tendency for an
ordinal variable?
a. Mode c. Median
b. Mean d. Mean or Mode

29. EVALUATE
9. In what type/s of variable or measurement scale is parametric test
appropriate?
I. Nominal
II. Ordinal
V. Interval
VI. Ratio
a. I only c. III and IV only
b. I and II only d. I, II, III and IV only
10. A group tried an innovative teaching strategy to two groups of Grade 12
students and compared the pretest and posttest scores of the two groups.
What type of variable/measurement scale is available in this study and what
type of inferential test will be used?
a. nominal, parametric c. interval, nonparametric
b. ordinal, nonparametric d. ratio, parametric

30. EXTEND
REAL TALK
Have a brainstorming and round table
discussion to decide what measure/s of
central tendency (descriptive) and
inferential test (parametric or
nonparametric test) will you use after
determining your type of measurement
scale/s involved.