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What’s the Connection?
 1. Where is the best place to examine 
direct data about student learning? 
 2. List at least three advantages and three 
disadvantages to using standardized 
assessment tools. 
 3. List at least three advantages and three 
disadvantages to using local or homegrown 
assessment tools. 
 4. What are some advantages to embedded 
assessment?
As a society, we like numbers. If sometime can be quantified, it 
is viewed as valid or more scientific. If it cannot be quantified, 
we view the activity with suspicion. 
Machine scoring of a test is fast, efficient, and cheap. 
Hand scoring of a test is slow, time consuming, and very 
expensive.
 Mass testing came about in the late 1800’s / early 1900’s. 
 Originally used to decide who was qualified to attend 
universities and who was bound to work in factories. 
 Attempted to model the efficient factory methods of Henry 
Ford – test should be easy, cheap, and work for everyone. 
 Early IQ Tests (the Alpha-Beta Tests) were developed for 
the U.S. Army as a way to decide the career path of new 
recruits. 
 Early test also developed to determine which immigrants 
could enter the U.S.
 Criterion-Referenced Test 
Criterion-referenced tests, also called mastery tests, compare a 
person's performance to a set of objectives. Anyone who meets 
the criterion can get a high score. 
Everyone knows what the benchmarks / objectives are and can 
attain mastery to meet them. 
It is possible for ALL the test takers to achieve 100% mastery.
 Norm-Referenced Test 
Norm-referenced tests compare an individual's 
performance with the performance of others. 
They are designed to yield a normal curve, with 50% of 
test takers scoring above the 50th percentile and 50% 
scoring below it, so half the test takers MUST pass and 
half the test takers MUST fail 
The test makers design the test with questions that MOST 
people will get incorrect. 
If too many people get a question correct, or too many 
score well, then test questions are “thrown out” until they 
achieve a normal curve again.
 Raw score. This is the number of items the student 
answered correctly. It is used to calculate the other, 
more useful scores. 
 Stanine. One of nine equal sections of the normal 
curve. Stanines can be easily averaged and compared 
from test to test, but are less precise than other scores. 
 Normal curve equivalent (NCE). For these scores, 
the normal curve is divided into equal units ranging 
from 1 to 99, with an average of 50. These can be 
averaged and compared from test to test or year to 
year.
 Half of the test takers 
are grouped into the 
“passing” region of 
the curve and half 
into the “failing” 
region of the curve. 
 So by definition, half 
the test takers MUST 
“fail”, i.e. be below 
the 50th percentile.
 So when a school says that their goal is to 
have 70% of their students above the 50th 
percentile, is this possible? 
 Well, yes, but it would mean that another 
school would have to have 70% of their 
students below the 50th percentile.
 In 2001, SDCS officials reported that as a 
district (second largest in the state), they had 
66% of their students above the 50th 
percentile on the SAT/9 test for 2000. 
 The news media reported “the shame of 
SDCS” because 1/3 of their students where 
below the 50th percentile. 
Was this a fair report??
 Many educators and members of the public fail to 
grasp the distinctions between criterion-referenced 
and norm-referenced testing. It is common to hear the 
two types of testing referred to as if they serve the 
same purposes, or shared the same characteristics. 
Much confusion can be eliminated if the basic 
differences are understood. 
 The following is adapted from: Popham, J. W. 
(1975). Educational evaluation. Englewood Cliffs, 
New Jersey: Prentice-Hall, Inc.
Dimension Criterion-Referenced 
Tests 
Norm-Referenced 
Tests 
Purpose To determine whether each 
student has achieved specific 
skills or concepts. 
To find out how much 
students know before 
instruction begins and after 
it has finished. 
To rank each student with 
respect to the 
achievement of others in 
broad areas of knowledge. 
To discriminate between high 
and low achievers.
Dimension Criterion-Referenced 
Tests 
Norm-Referenced 
Tests 
Content Measures specific 
skills which make up a 
designated curriculum. 
These skills are 
identified by teachers 
and curriculum 
experts. 
Each skill is expressed 
as an instructional 
objective. 
Measures broad skill areas 
sampled from a variety of 
textbooks, syllabi, and the 
judgments of curriculum 
experts.
Dimension Criterion-Referenced 
Tests 
Norm-Referenced 
Tests 
Item 
Characteristics 
Each skill is tested by at 
least four items in order to 
obtain an adequate sample 
of student performance and 
to minimize the effect of 
guessing. 
The items which test any 
given skill are parallel in 
difficulty. 
Each skill is usually tested by 
less than four items. 
Items vary in difficulty. 
Items are selected that 
discriminate between high 
and low achievers.
Dimension Criterion-Referenced 
Tests 
Norm-Referenced 
Tests 
Score 
Interpretation 
Each individual is 
compared with a preset 
standard for acceptable 
achievement. The 
performance of other 
examinees is irrelevant. 
A student's score is usually 
expressed as a percentage. 
Student achievement is 
reported for individual 
skills. 
Each individual is compared 
with other examinees and 
assigned a score--usually 
expressed as a percentile, a 
grade equivalent score, or a 
stanine. 
Student achievement is 
reported for broad skill 
areas, although some norm-referenced 
tests do report 
student achievement for 
individual skills.
California Achievement Test – 6th Edition (CAT/6): 
National Norm Referenced Test 
 California Standards Test (CST): State Norm 
Referenced Test w/ Scaled Scores 
Golden State Exam: Criterion Referenced Test 
CA-High School Exit Exam (CA-HSEE): Criterion 
Referenced Test
 In this scenario we will use a fictitious “norm-referenced” 
test being given a a single high 
school.
 John and his fellow students at Anywhere 
High School are given the “Let’s Achieve Test” 
version 1 (LAT/1). 
 The LAT/1 is a norm-referenced test.
 John does not perform well on the test, 
compared to the other test takers. 
 He scores below the 50th percentile and is 
classified “below grade level”. 
 John spends the next school year getting 
extra tutoring, staying after school, and 
going to Saturday tutoring sessions.
 The following school year on the LAT/1, John 
performs better than he did the previous 
year. 
 However, because of a school-wide focus on 
the test, all the other students in the school 
also perform better. 
 As a result, John’s norm-reference test score 
is still below the 50th percentile and he is still 
classified as “below grade level”.
 The API score was originated to provide a systematic 
method to rank order schools based on a number of 
criteria. It is to measure academic growth and 
performance of a school. The schools would receive a 
rank compared to ALL other schools in the state and a 
second ranking comparing them to SIMILAR schools 
around the state.
Test Results (SAT/9) – 60% of score 
Attendance Rates 
Graduation Rates 
Other statewide test results (GSE, CA-HSEE) 
 From 1999 to 2002 ONLY the SAT/9 Test results are 
used to calculate 100% of a school’s API score.
 California Achievement Test (CAT/6) – about 12% of score. 
Includes mathematics, reading, language, science 
 California Standards Test (CST) – about 73% of score. 
Includes mathematics, science, language arts, social science 
 CA- High School Exit Exam (CA-HSEE) – about 15% of 
score. 
 Eventually API scores will also include graduation 
and attendance rates from schools as part of the 
overall “score”.
 So, does this system 
adequately measure the 
success of CA students? 
 Does it reflect the learning 
that is happening in CA 
classrooms?
 What are the appropriate uses of Norm-reference 
tests? Criterion-reference tests? 
 How should these test be used at the 
state/district/school level? 
 What role does testing play in looking at 
school performance? Student performance? 
Teacher performance?
 Testing is a reality that is here to stay. 
 It has been legislated by the state of CA 
under the STAR system and by the federal 
government by the NCLB Act. 
 So we should really be asking; 
How do we use these tools to support 
students and their learning in CA schools?

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Norm Reference Test

  • 2.  1. Where is the best place to examine direct data about student learning?  2. List at least three advantages and three disadvantages to using standardized assessment tools.  3. List at least three advantages and three disadvantages to using local or homegrown assessment tools.  4. What are some advantages to embedded assessment?
  • 3. As a society, we like numbers. If sometime can be quantified, it is viewed as valid or more scientific. If it cannot be quantified, we view the activity with suspicion. Machine scoring of a test is fast, efficient, and cheap. Hand scoring of a test is slow, time consuming, and very expensive.
  • 4.  Mass testing came about in the late 1800’s / early 1900’s.  Originally used to decide who was qualified to attend universities and who was bound to work in factories.  Attempted to model the efficient factory methods of Henry Ford – test should be easy, cheap, and work for everyone.  Early IQ Tests (the Alpha-Beta Tests) were developed for the U.S. Army as a way to decide the career path of new recruits.  Early test also developed to determine which immigrants could enter the U.S.
  • 5.  Criterion-Referenced Test Criterion-referenced tests, also called mastery tests, compare a person's performance to a set of objectives. Anyone who meets the criterion can get a high score. Everyone knows what the benchmarks / objectives are and can attain mastery to meet them. It is possible for ALL the test takers to achieve 100% mastery.
  • 6.  Norm-Referenced Test Norm-referenced tests compare an individual's performance with the performance of others. They are designed to yield a normal curve, with 50% of test takers scoring above the 50th percentile and 50% scoring below it, so half the test takers MUST pass and half the test takers MUST fail The test makers design the test with questions that MOST people will get incorrect. If too many people get a question correct, or too many score well, then test questions are “thrown out” until they achieve a normal curve again.
  • 7.  Raw score. This is the number of items the student answered correctly. It is used to calculate the other, more useful scores.  Stanine. One of nine equal sections of the normal curve. Stanines can be easily averaged and compared from test to test, but are less precise than other scores.  Normal curve equivalent (NCE). For these scores, the normal curve is divided into equal units ranging from 1 to 99, with an average of 50. These can be averaged and compared from test to test or year to year.
  • 8.  Half of the test takers are grouped into the “passing” region of the curve and half into the “failing” region of the curve.  So by definition, half the test takers MUST “fail”, i.e. be below the 50th percentile.
  • 9.  So when a school says that their goal is to have 70% of their students above the 50th percentile, is this possible?  Well, yes, but it would mean that another school would have to have 70% of their students below the 50th percentile.
  • 10.  In 2001, SDCS officials reported that as a district (second largest in the state), they had 66% of their students above the 50th percentile on the SAT/9 test for 2000.  The news media reported “the shame of SDCS” because 1/3 of their students where below the 50th percentile. Was this a fair report??
  • 11.  Many educators and members of the public fail to grasp the distinctions between criterion-referenced and norm-referenced testing. It is common to hear the two types of testing referred to as if they serve the same purposes, or shared the same characteristics. Much confusion can be eliminated if the basic differences are understood.  The following is adapted from: Popham, J. W. (1975). Educational evaluation. Englewood Cliffs, New Jersey: Prentice-Hall, Inc.
  • 12. Dimension Criterion-Referenced Tests Norm-Referenced Tests Purpose To determine whether each student has achieved specific skills or concepts. To find out how much students know before instruction begins and after it has finished. To rank each student with respect to the achievement of others in broad areas of knowledge. To discriminate between high and low achievers.
  • 13. Dimension Criterion-Referenced Tests Norm-Referenced Tests Content Measures specific skills which make up a designated curriculum. These skills are identified by teachers and curriculum experts. Each skill is expressed as an instructional objective. Measures broad skill areas sampled from a variety of textbooks, syllabi, and the judgments of curriculum experts.
  • 14. Dimension Criterion-Referenced Tests Norm-Referenced Tests Item Characteristics Each skill is tested by at least four items in order to obtain an adequate sample of student performance and to minimize the effect of guessing. The items which test any given skill are parallel in difficulty. Each skill is usually tested by less than four items. Items vary in difficulty. Items are selected that discriminate between high and low achievers.
  • 15. Dimension Criterion-Referenced Tests Norm-Referenced Tests Score Interpretation Each individual is compared with a preset standard for acceptable achievement. The performance of other examinees is irrelevant. A student's score is usually expressed as a percentage. Student achievement is reported for individual skills. Each individual is compared with other examinees and assigned a score--usually expressed as a percentile, a grade equivalent score, or a stanine. Student achievement is reported for broad skill areas, although some norm-referenced tests do report student achievement for individual skills.
  • 16. California Achievement Test – 6th Edition (CAT/6): National Norm Referenced Test  California Standards Test (CST): State Norm Referenced Test w/ Scaled Scores Golden State Exam: Criterion Referenced Test CA-High School Exit Exam (CA-HSEE): Criterion Referenced Test
  • 17.
  • 18.  In this scenario we will use a fictitious “norm-referenced” test being given a a single high school.
  • 19.  John and his fellow students at Anywhere High School are given the “Let’s Achieve Test” version 1 (LAT/1).  The LAT/1 is a norm-referenced test.
  • 20.  John does not perform well on the test, compared to the other test takers.  He scores below the 50th percentile and is classified “below grade level”.  John spends the next school year getting extra tutoring, staying after school, and going to Saturday tutoring sessions.
  • 21.  The following school year on the LAT/1, John performs better than he did the previous year.  However, because of a school-wide focus on the test, all the other students in the school also perform better.  As a result, John’s norm-reference test score is still below the 50th percentile and he is still classified as “below grade level”.
  • 22.  The API score was originated to provide a systematic method to rank order schools based on a number of criteria. It is to measure academic growth and performance of a school. The schools would receive a rank compared to ALL other schools in the state and a second ranking comparing them to SIMILAR schools around the state.
  • 23. Test Results (SAT/9) – 60% of score Attendance Rates Graduation Rates Other statewide test results (GSE, CA-HSEE)  From 1999 to 2002 ONLY the SAT/9 Test results are used to calculate 100% of a school’s API score.
  • 24.  California Achievement Test (CAT/6) – about 12% of score. Includes mathematics, reading, language, science  California Standards Test (CST) – about 73% of score. Includes mathematics, science, language arts, social science  CA- High School Exit Exam (CA-HSEE) – about 15% of score.  Eventually API scores will also include graduation and attendance rates from schools as part of the overall “score”.
  • 25.  So, does this system adequately measure the success of CA students?  Does it reflect the learning that is happening in CA classrooms?
  • 26.  What are the appropriate uses of Norm-reference tests? Criterion-reference tests?  How should these test be used at the state/district/school level?  What role does testing play in looking at school performance? Student performance? Teacher performance?
  • 27.  Testing is a reality that is here to stay.  It has been legislated by the state of CA under the STAR system and by the federal government by the NCLB Act.  So we should really be asking; How do we use these tools to support students and their learning in CA schools?