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?Baumann

READING COMPREHENSION



Source: https://bedfordnhlibrary.org/sites/bedfordnhlibrary.org/files/books.jpg

Background

“This study investigated the effectiveness of explicit instruction in ‘think aloud’ as a means to promote elementary students’ comprehension monitoring abilities” (Baumann & Jones, 1992).

Details of the Study (click to view)

In this study done in 1992, scores were retrieved from 2 different reading comprehension tests taken in a fourth-grade class in a rural midwest town. There was a pre-test and a post-test for each test. There were a total of 66 students whose data was collected, of which 32 were girls, 34 were boys. The students were randomly seperated into 3 experimental groups and were taught using a different teaching style. The styles are as follows:

  1. Basal

  2. DRTA

  3. Strat

Refer for specifics on teaching style: (Baumann & Jones, 1992)

The students were then given two tests (or the pre-tests): One to evaluate the student’s error detection and preintervention ability - the other to determine if the student understands the strategies to better comprehend what they are reading.

Later, they were given similar tests (or post-tests) on the same subject after they had been taught under the specific teaching style and their scores were recorded respectively. This gave a general idea of there reading comprehension before and after the teaching style was implemented.

It is our job to find out which teaching style produces better results for reading comprehension in fourth-grade students. We will need to manipulate the data we are given so it can be viewed in different terms in order to find the answer to the question we will be asking. (Explained below)

Getting the Composite Score

The data we are given was the number of questions right on the test. The pre-tests and post-tests of test two actually had a differing number of questions. Therefore, just subtracting the post from the pre wouldn’t give the actual change in the tests.

Because of this issue, we will take the number of questions right and divide it by the total number questions in the respective test to get the composite score. When we do this to the post’s and pre’s of both tests, we can then compare them to each other accurately.

At this point, we almost have the data where it needs to be, but for the sake of our question, we will take the differences of the post’s and pre’s of the two tests and combine them and divide by two to get an average change in composite scores. This number is a general idea of how the students’ reading comprehension improved or decreased after being taught in a specific style.

An example is given below. The values are the calculated score percentages according to the test. (Given as decimals)

The Change of Composite Score, 0.04125, means that this particular student’s reading comprehension increased by 4.125% during this experiment.

The Kruskal-Wallis Test

From here, we can run our Kruskal-Wallis Test to determine if there is a difference in one of they styles of teaching. Our hypotheses are as follows:

\[ H_o: All\ teaching\ styles\ produce\ the\ same\ results.\ \] \[ H_a: At\ least\ one\ teaching\ style's\ result\ is\ stochastically\ different. \]

Our level of significance is 0.05

Baumann$pretest.1percentage <- Baumann$pretest.1/16
Baumann$pretest.2percentage <- Baumann$pretest.2/15
Baumann$posttest.1percentage <- Baumann$post.test.1/16
Baumann$posttest.2percentage <- Baumann$post.test.2/18
Baumann$Test1dif <- Baumann$posttest.1percentage-Baumann$pretest.1percentage
Baumann$Test2dif <- Baumann$posttest.2percentage-Baumann$pretest.2percentage
Baumann$TestAvgDiff <- (Baumann$Test1dif+Baumann$Test2dif)/2

pander(kruskal.test(TestAvgDiff~group, data=Baumann))
Kruskal-Wallis rank sum test: TestAvgDiff by group
Test statistic df P value
21.81 2 1.834e-05 * * *

We see that our P-value is lower than our level of significance and therefore, we reject our null hypothesis. We can conclude that there is a difference in at least one of the teaching styles.

To visualize what is happening with the data, we will create a side-by-side box plot of the different styles and make a comparison.

boxplot(TestAvgDiff~group, data=Baumann, col=c("orange","navyblue","red"), ylab="Change in Composite Score (given in decimals)", main="Change in Reading Comprehension")

pander(favstats(TestAvgDiff~group, data=Baumann))
Table continues below
group min Q1 median Q3 max mean
Basal -0.3986 -0.2257 -0.1483 -0.06024 0.06597 -0.141
DRTA -0.1347 -0.06875 -0.002083 0.07639 0.2347 0.004703
Strat -0.2389 -0.04722 0.06771 0.09097 0.1535 0.02456
sd n missing
0.1171 22 0
0.09687 22 0
0.1032 22 0

Inference

One of the first things we need to recognize is that for the post test for Test 1 was significantly more difficult. Therefore, most of the students’ post test scores for Test 1 were lower. This can mean that the composite scores may not be a completely accurate, but they give a general idea of how the students did over time.

From our box plots, we can see that the Basal teaching style is stochastically different from the other two styles. From reading the content provided in the link, we read that the Basal style is the normal style of teaching and previous tests have been based off of it. This can be a significant issue because the change in the average score for the Basal style is -14.1%. This means that in future tests, the average score for reading comprehension in fourth-graders is likely to continue to drop.

We also see that both the DRTA style and Strat style look almost similar and their average mean percentage is above zero. This means that in future tests, their scores will likely increase over time. The Strat style has the lowest average change in reading comprehension, but does have the greater average mean.

To conclude, we can see that the Basal teaching will cause the continued drop of reading comprehension in fourth-graders in coming years. It is advised to find a different style of teaching, whether it be from the DTRA style or the Strat style. More research may be required to determine what is the most effective.