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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Weighted log-odds-ratio, informative Dirichlet prior method to compare peer review feedback for top and bottom quartile college students in a first-year writing program</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Valerie Ross</string-name>
          <email>vross@writing.upenn.edu</email>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Lan Ngo</string-name>
          <email>lngo@writing.upenn.edu</email>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Rodger LeGrand</string-name>
          <email>legrand@writing.upenn.ed</email>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>University of Pennsylvania 3808</institution>
          <addr-line>Walnut Street Philadelphia, PA 19104 215-573-2729</addr-line>
          ,
          <country country="US">USA</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>University of Pennsylvania Williams Hall</institution>
          ,
          <addr-line>Room 619 Philadelphia, PA 19104 215-898-0363</addr-line>
          ,
          <country country="US">USA</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>The purpose of this paper is to use a weighted log-odds-ratio, informative Dirichlet prior method (“bag of words” approach) to analyze student comments and scores posed to MyReviewers, a web-based tool designed for collecting student writing as well as their peers' comments and scores of their colleagues' drafts. Our preliminary findings suggest that students who receive lower scores may also be receiving significantly different kinds of feedback that some in the field of writing studies have suggested may have a negative impact on student learning and motivation. Findings point to the possibility of identifying the the effectiveness of different kinds of feedback on lower and higher performing student writers; evaluating the impact of feedback on student revision and grading practices; and identifying and analyzing symmetries and asymmetries in teacher and student feedback commentary and scores.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. INTRODUCTION</title>
      <p>
        Asking students to give writing feedback to their peers is a common
practice and may be introduced to students as early as kindergarten
and continue into graduate school based on the understanding that
evaluating and sharing feedback with peers may accelerate the
learning of the writer and peer reviewer alike. However, while
much attention has been paid to the quality and nature of feedback
given to student writers by teachers and writing tutors, very little
exploration has been done of the impact of the feedback given by
students to their peers’ work
        <xref ref-type="bibr" rid="ref17 ref18 ref2">(Kelly 2016, Poe 2016, Bouzidi, L. &amp;
Jaillet A 2009, Stanley 1992)</xref>
        .
      </p>
      <p>This paper represents a preliminary investigation of data gathered
as part of a larger, cross-institutional study of peer review of writing
assignments in undergraduate courses. Employing the web-based
tool MyReviewers we collected collected student writing,
commentary, and scores from one semester of a first-year
writingin-the-disciplines program at the University of Pennsylvania. We
used a simple “bag of words” approach to explore whether the type
of comments students receive correlates with the score they give to
the students’ assignment. Results suggest that students in the lower
quartile receive significantly different commentary--more
prescriptive and negative--from that given to students in the upper
quartile. This has considerable implications, for it suggests that
good writers receive the kind of positive reinforcement from peers
that many in the field of writing studies consider most effective for
advancing writing skills, while underperforming writers receive the
sort of commentary from peers that are generally regarded as the
sort that hinders development of writing skills.</p>
      <p>
        Writing feedback is typically divided into two categories: direct
and indirect instruction. Direct instruction includes telling,
suggesting, explaining, and exemplifying (Mackiewicz &amp;
Thompson) and is often contrasted with open problem solving or
discovery learning
        <xref ref-type="bibr" rid="ref11">(see, for example, Kirschner, Sweller, &amp; Clark,
2006)</xref>
        . In discussing their analysis of discourse between writing
center tutors and writing students, Mackiewicz and Thompson
(2015) describe directiveness as worrisome but admittedly
necessary. Though directiveness provides students with essential
knowledge, it may curtail opportunities for learners to generate
solutions on their own and may not foster motivation and curiosity
        <xref ref-type="bibr" rid="ref5">(Glogger-Frey, Fleischer, Gruny, Kappich, &amp; Renkl,
2015)</xref>
        . However, Mackiewicz and Riley’s (2003) analysis of a
technical editor’s role in providing feedback to writers shows that
indirect strategies are less clear in communicating the hearer’s
obligation to implement the implied directive, thereby potentially
creating ambiguity. Research on directiveness in various K-12
settings has also highlighted the important role of direct instruction
in student learning. Glogger-Frey et al. (2015) studied the effect of
an open problem solving approach (i.e. indirect approach) to
teaching physics to eighth grade students. Contrary to their
expectation that open problem solving would cultivate knowledge
transfer, they found that the students were less prepared for learning
and transfer in physics than students who had received direct
instruction. Their findings echo Kirschner et al.’s observation that
there is little research to support the effectiveness of solely using
minimal guidance when teaching. As such, Mackiewicz and
Thompson (2015) suggest a balance between directness and
indirectness in providing writing support to students.
      </p>
      <p>
        In the context of writing center tutoring, Mackiewicz and
Thompson (2015) suggest that motivation plays a key role in the
amount of time and effort that students devote to writing
tasks. They explain the importance of motivational scaffolding
strategies in encouraging students through “praise, assurances of
caring, and statements reinforcing student writers’ ownership of
their work”
        <xref ref-type="bibr" rid="ref13 ref17">(Mackiewicz and Thompson, 2015, p. 5)</xref>
        . Drawing on
studies by Harris (1992) and Lunsford (1991), Mackiewicz and
Thompson (2015) particularly emphasize the effectiveness of
helping students to maintain control of their own writing, and their
research underscores tutors’ use of motivational scaffolding in
fostering students’ ability to monitor their own learning. However,
the effect of motivational scaffolding may depend on various
factors, including a student’s self-efficacy level. For example,
Boyer, Phillips, and Wallis (2008) examined tutorial dialogue in the
context of computer science learning and found that direct
encouragement appeared to aid students with low self-efficacy,
though it may not have been helpful for high self-efficacy
learners. As Boyer et al. (2008) suggest, balancing motivational
scaffolding and cognitive scaffolding--which encourages students
to reflect on their own thinking and reasoning
        <xref ref-type="bibr" rid="ref13">(Mackiewicz &amp;
Thompson, 2015)</xref>
        --remains an issue to be studied.
      </p>
      <p>
        Though students may like to receive positive feedback, including
praise, research highlights the complexity of feedback in terms of
circumstance and effect. Straub (1997) surveyed 142 first-year
college writing students to investigate their perceptions about
teacher comments on their writing and found that students preferred
praise, even when it was merely in the form of the word “good”
adjacent to criticism. However, students most preferred praise that
was accompanied by reasons for the positive evaluation
        <xref ref-type="bibr" rid="ref19">(Straub
1997)</xref>
        .
        <xref ref-type="bibr" rid="ref7">Hattie and Timperley (2007)</xref>
        reviewed research, including
meta-analyses, on feedback and consider it to be one of the
strongest influences on learning and achievement. According to
their review, positive feedback may increase a student’s persistence
and, for high self-efficacy students, positive feedback builds their
ability to cope with future negative feedback
        <xref ref-type="bibr" rid="ref4 ref7">(Deci, Koestner, &amp;
Ryan,1999; Hattie &amp; Timperley, 2007; Swann, Pelham, &amp;
Chidester; 1988)</xref>
        . On the other hand, students with a low level of
self-efficacy may react to positive feedback by avoiding tasks to
limit the risk of receiving future negative feedback
        <xref ref-type="bibr" rid="ref7">(Hattie &amp;
Timperley, 2007)</xref>
        . Research on second language learning indicates
that low-performing students may continue to underperform if they
are consistently given positive feedback rather than information on
how to move forward
        <xref ref-type="bibr" rid="ref8">(Hiver, 2014)</xref>
        .
      </p>
      <p>
        Negative feedback, which is equally as complicated as positive
feedback, may either hinder or bolster learning, depending on the
student and context. High self-efficacy learners view their
performance optimistically, and therefore, may seek negative
feedback to outperform on tasks
        <xref ref-type="bibr" rid="ref7">(Hattie &amp; Timperley, 2007)</xref>
        . For
low self-efficacy students, disconfirmation of their performance
may adversely impact their motivation and future performance
        <xref ref-type="bibr" rid="ref14 ref3 ref7">(Brockner, Derr, &amp; Laing, 1987; Hattie &amp; Timperley, 2007;
Moreland &amp; Sweeney, 1984)</xref>
        . Negative feedback from either a
teacher or peer may hurt a student’s confidence. After surveying
200 students of English as a foreign language,
        <xref ref-type="bibr" rid="ref9">Kaivanpanah, Alavi,
and Sepehrinia (2015</xref>
        ) note that negative feedback from classmates
may be confusing and harmful to a student’s confidence. However,
disconfirmation of performance may be welcomed if presented in
terms of guidance
        <xref ref-type="bibr" rid="ref19">(Straub, 1997)</xref>
        . A study by Muis, Ranellucci,
Trevors, and Duffy (2015) emphasizes the complex nature of
negative feedback and its impact. In examining the attitudes,
emotions, engagement, and learning outcomes of kindergarten
students who received immediate feedback from a literacy learning
app on iPad, the researchers had expected negative evaluative
feedback to decrease enjoyment and increase boredom
        <xref ref-type="bibr" rid="ref16">(Pekrun,
2006)</xref>
        . Ultimately, results from their study demonstrated that the
impact of negative feedback on the students was mixed.
      </p>
    </sec>
    <sec id="sec-2">
      <title>2. DATA SET</title>
      <p>The Critical Writing Program has over the past decade developed
and refined a genre-, discourse- and discipline-based shared
curriculum for introducing students to what is called "authentic"
writing situations that involve real genres, audiences, motives, and
subject knowledge, as well as introduce and provide students with
practice in using a shared vocabulary and concepts about writing,
from knowledge domains such as genre and process to more
specific aspects of rhetorical analysis and production. The
curriculum emphasizes peer review and reflection throughout.
The data set consists of the work of 1,183 undergraduates, mostly
first-year, who completed a writing seminar at the University of
Pennsylvania in Spring 2016. This data set includes up to five
drafts of a literature review as well as the peer reviews each draft
received. Peer reviews consist of rubric-guided comments and
numeric scores. Most drafts are accompanied by the student
writer’s pre- or post-outline that provides a rhetorical analysis as
well as line of reasoning for the draft. All drafts receive from one
to six peer reviews (comments and scores) as well as comments and
scores from their instructor. In addition, most students will provide
a revision plan that responds to the feedback they have received
from their peers and instructor.</p>
      <p>All undergraduate students at Penn across the four undergraduate
schools--College of Arts &amp; Sciences, Wharton, Engineering, and
Nursing--are required to complete a writing seminar. Penn’s
writing seminars are administered by the Critical Writing Program;
most seminars within the program are situated within a specific
discipline, bounded by a particular, discipline-based inquiry, and
taught by a Ph.D. in that discipline who frequently is engaged in
the line of inquiry focused upon in the seminar. Thus the topics and
disciplines vary and along these lines while all students are
assigned the genre of the literature review, we recognize that
literature reviews written in the bench sciences are often
substantially different form those written in, say, the
humanities. Some instructors teach two sections of the same
topic. In addition to discipline-based seminars, we have two sets
of seminars that share a single topic across disciplines: Craft of
Prose (14 sections representing 161 students) and Upper Division
seminars (8 sections representing 104 students). Students,
sometimes with the help of their advisors, choose the type of
seminar that best suits their needs, including their self-assessment
of their competence and confidence as writers. Craft of Prose
seminars are designed for students who may have less preparation
in writing or have confidence issues or other concerns about
writing. Upper Division seminars are designed for upperclassmen
and transfer students who were uncomfortable in seminars designed
mainly for freshmen. We also have single topic Global English
classes for international students who are concerned with learning
how to write for an American academic audience. For more
information on our directed self-placement criteria, visit:
http://writing.upenn.edu/critical/seminars/choosing_the_right_sem
inar.php
The specific data in this set includes peer review scores and
comments produced by 1,183 undergraduates enrolled in 90 writing
seminars during the spring 2016 semester. The Excel file housing
the data is organized into 19 columns and 14,010 rows. The column
headings include:</p>
      <sec id="sec-2-1">
        <title>Class Code</title>
      </sec>
      <sec id="sec-2-2">
        <title>Section Number</title>
      </sec>
      <sec id="sec-2-3">
        <title>Instructor Date Project</title>
      </sec>
      <sec id="sec-2-4">
        <title>Date on which a peer review was completed.</title>
      </sec>
      <sec id="sec-2-5">
        <title>The writing assignment and draft number.</title>
        <p>Draft 1 of the literature review was a
one-onone review. Draft 2 was a multiple-reciprocal
peer review with 1-6 peers. Draft three of the
literature review was a multiple reciprocal
review. Drafts 4 and 5 were optional. The
first draft of the public argument peer review
was one-on-one, and the second draft was
multiple-reciprocal. The students also
completed a multiple-reciprocal peer review
for their final portfolio drafts.</p>
      </sec>
      <sec id="sec-2-6">
        <title>Student Name</title>
      </sec>
      <sec id="sec-2-7">
        <title>Full name of the student writer (anonymized)</title>
      </sec>
      <sec id="sec-2-8">
        <title>Grader Name</title>
      </sec>
      <sec id="sec-2-9">
        <title>Rubric Score</title>
      </sec>
      <sec id="sec-2-10">
        <title>Final Grade</title>
      </sec>
      <sec id="sec-2-11">
        <title>Peer reviewer's numerical assessment of student writer's knowledge of writing and rhetorical awareness.</title>
      </sec>
      <sec id="sec-2-12">
        <title>Peer reviewer's numerical assessment of student writer's novelty and persuasiveness for a targeted audience.</title>
      </sec>
      <sec id="sec-2-13">
        <title>Peer reviewer's numerical assessment of student writer's reasonableness and logical coherence.</title>
      </sec>
      <sec id="sec-2-14">
        <title>Peer reviewer's numerical assessment of</title>
        <p>student writer's ability to produce voice,
vocabulary, syntax, sentence structure,
punctuation, and tone appropriate to the
genre and audience.</p>
      </sec>
      <sec id="sec-2-15">
        <title>Comment on Cognitive and Heuristic Processes</title>
      </sec>
      <sec id="sec-2-16">
        <title>Comment on Invention</title>
      </sec>
      <sec id="sec-2-17">
        <title>Comment on Reasoning</title>
      </sec>
      <sec id="sec-2-18">
        <title>Comment on Presentation</title>
      </sec>
      <sec id="sec-2-19">
        <title>General Comments</title>
      </sec>
      <sec id="sec-2-20">
        <title>Combined</title>
      </sec>
      <sec id="sec-2-21">
        <title>Peer reviewer's written assessment of student writer's knowledge of writing and rhetorical awareness.</title>
      </sec>
      <sec id="sec-2-22">
        <title>Peer reviewer's written assessment of student writer's creativity, novelty, and inventiveness in what they select to persuade their target audience.</title>
      </sec>
      <sec id="sec-2-23">
        <title>Peer reviewer's written assessment of student writer's reasonableness and logical coherence.</title>
      </sec>
      <sec id="sec-2-24">
        <title>Peer reviewer's written assessment of student</title>
        <p>writer's ability to produce voice, vocabulary,
syntax, sentence structure, punctuation, tone,
source handling, etc., appropriate to the
genre and audience.</p>
      </sec>
      <sec id="sec-2-25">
        <title>Peer reviewer's final comments, insights, and observations of student writer's writing.</title>
      </sec>
      <sec id="sec-2-26">
        <title>Compiles the peer reviewer’s written</title>
        <p>assessments of Comment on Cognitive and
Heuristic Processes, Comments on Invention,
Comments on Reasoning, Comments on
Presentation, and General Comments into
one field.</p>
      </sec>
    </sec>
    <sec id="sec-3">
      <title>2.1 Rubric</title>
      <p>Students are given a detailed rubric, the same one used by
instructors in our program to assess individual students in their
classes as well as to assess mid-term and final portfolios. The
rubric acts as a guide for formative as well as, at semester’s end,
summative assessment.</p>
      <p>Cognition/Metacognition: Knowledge of Writing
• Recognizes the purpose of the assignment
• Conceives of a procedure for fulfilling it
• Perceives the problem(s) to be solved in the assignment
• Follows directions through all stages of the assignment
• Able to detect flaws in reasoning in one’s own or other’s
reasoning (outlines and peer reviews)
• Able to identify and evaluate (in plan, outlines, peer
reviews, cover letters, other artifacts):
o Rhetorical Strategies
o Audience
o Purpose
o Genre
o Plan/Arrangement
o Complex Synthesis
o Presentation
Invention: Idea/Audience (test of novelty, creativity,
persuasion)
• Selection of an appropriate and engaging subject within
the topic
• Ability to select and work successful within a genre
• Selection of an appropriate proposition and reasons to
support it, attuned to the audience and purpose
•
•
•
•
•</p>
      <p>Selection of the appropriate amount and type of evidence
and materials to support the proposition, attuned to the
audience and purpose
Arrangement and style attuned to the audience, purpose,
and genre, including ability to evaluate the strength of
reasons and evidence
Identification of shared premises to enable an effective
introduction and conclusion
Ability to grasp feedback or detect problems with
invention and revise accordingly
Ability to vary voice and style to accommodate different
audiences and genres
Reasoning: Development/Coherence (test of reasonableness)
• Creation or selection of an appropriately justificatory or
explanatory proposition
• Creation or selection of reasons that directly support the
proposition
• Selection of evidence that confirms, illuminates or
otherwise develops the reasons
• Ability to test argument through strategies of
counterargument
• Demonstration of logical coherence: all reasons support
the proposition, all evidence supports the reasons, and to
the extent possible, reasons do not contradict each other
• Demonstration of semantic coherence: sentences and
paragraphs stick together
Presentation
• Ability to produce a voice and style appropriate to the
genre and audience
• Control of vocabulary, syntax, sentence structure,
punctuation, tone
• Ability to integrate rhetorical strategies and sources so
that they create a consistency of style appropriate to the
genre and audience
• Demonstrated ability to proofread and polish work for an
outside reader
• Creation and use of grammar checklist to identify context
and patterns of error in mechanics and usage, as well as
to correct them
• Appropriate formatting, citation, documentation of
sources</p>
    </sec>
    <sec id="sec-4">
      <title>3. METHOD</title>
      <p>We exclude peer reviews where the numerical Rubric Score is
listed as 0, since many of these appear to be cases where the score
is simply missing, although the reviewer evaluated the draft
positively. We also exclude reviews where the score was greater
than 0 but less than 2 out of 4 -- these represent evaluations with
failing grades, and in such cases the reviewers often didn’t bother
to supply detailed comments. Among the remaining examples, the
bottom quartile includes 3046 reviews with scores between 2 and
3.3 out of 4, and the top quartile includes 3054 reviews with scores
above 3.78. The combined comments in the bottom-quartile
reviews comprise 1,022,709 words, and the combined comments in
the top-quartile reviews comprise 759,637 words.</p>
      <p>In order to evaluate the degree of association between individual
words* [FN: here “word” simply means a string of alphabetic
letters set off by space, punctuation, or other symbols] and score
quartiles, we used the “algorithm from section 3.5.1 of Monroe et
al. 2008.</p>
      <p>This method, originally developed for a study of political writing,
starts with a simple ratio of estimated word frequencies in two
collections of text. The problem is that when the overall frequency
of a word is low, so is our confidence that the ratio is not a statistical
accident -- and so is the value of that word as a predictive marker
of the distinction under study. Thus in this collection, the word
judged occurs five times in the bottom-quartile reviews, and only
once in the top quartile; given the different overall word counts in
the two groups, the maximum-likelihood estimate is that judged is
about 4 times as common in bottom-quartile reviews as in
topquartile reviews. But we can’t be very confident that in the next
batch of reviews, this ration might not be quite different, or even
reversed. And in any case, judged doesn’t occur often enough to be
a very strong indicator of a reviewer’s sentiment.</p>
      <p>In contrast, the word should occurs 3,780 times in the
bottomquartile comments, and 1,914 times in the top-quartile comments.
Allowing for the groups’ overall word counts, this tells us that the
frequency of should is about 1.5 times greater in the bottom-quartile
comments than in the top-quartile comments. But in this case, the
overall frequency is high enough that we can be fairly confident
that should will also be about 50% more frequent in the low-quartile
comments in next semester’s sample -- and should is common
enough to be a useful indicator of overall review sentiment.
In order to deal with these issues, the cited method shrinks the odds
ratio for each word based on a factor derived from a simple
statistical estimate of the process generating the counts, along with
an estimate of that word’s overall frequency in a relevant more
general source. The result is a number, the “weighted log-odds
ratio”, that we can use to rank words according to their apparent
affinity for one text sample or the other.</p>
    </sec>
    <sec id="sec-5">
      <title>4. PRELIMINARY RESULTS</title>
      <p>The bottom quartile has more words per (combined) comment than
the top quartile: 336 vs. 249.</p>
      <p>The words most reliably associated with the bottom quartile
include:
There's obviously some mixture of content with commentary
here, but overall it makes sense -- most if not all of the content
admixture could be removed by limiting the list to words that
occur at least at a rate of 100 per million in both sets as well as
removing words that are related to the specific content of a
particular seminar, such as “Picasso.”
"But" is the 6th most negative word:</p>
      <p>but 5123 (5009.25) 2742 (3609.62) 5.949
The evaluations in the top quartile by rubric score are more
heavily weighted with evaluative words of all types. The
evaluations in the lower quartile are more heavily weighted with
prescriptive terms such as “should,” “try,” “more,” “needs,
“unnecessary.” One symptom: on the negative side, there's just
one evaluative word that's both reasonably common overall
(frequency &gt; 15/100k) and more than twice as common in the
lower quartile of evaluations: "unclear". The rest of that end of
the list of the lower quartile includes:</p>
      <sec id="sec-5-1">
        <title>RATIO Q4/Q1</title>
        <p>At the upper end of the quartile, more than 20 positive terms are
employed:</p>
      </sec>
      <sec id="sec-5-2">
        <title>RATIO Q4/Q1</title>
      </sec>
      <sec id="sec-5-3">
        <title>WORD</title>
        <p>unclear
incorrect
unnecessary
needs
clearer
WORD
easy
great
very
nice
flows
logically
organized
job
well
supported</p>
      </sec>
    </sec>
    <sec id="sec-6">
      <title>4. FUTURE DIRECTIONS</title>
      <p>Our next steps will include identifying cases where the commentary
and grade are asymmetrical. We will also analyze instructor
commentary and scores to see if similar patterns obtain. Of
particular interest will be to explore correlations between the types
and length of commentary as well as scores from peers in relation
to improvement in drafts and final scores. We anticipate a corpus
of several thousand papers from our own program as well as from
the other institutions participating in a broader NSF-funded study
of peer review: USF, MIT, UCNS, and Dartmouth, and will engage
in a range of corpus-based approaches to text analysis. We hope to
contribute to research on the effectiveness of different kinds of
feedback, particularly as concerns struggling writers.</p>
    </sec>
    <sec id="sec-7">
      <title>5. ACKNOWLEDGMENTS</title>
      <p>This research is supported by the National Science Foundation
under Award #1544239, “Collaborative Research: The Role of
Instructor and Peer Feedback in Improving the Cognitive,
Interpersonal, and Interpersonal Competencies of Student Writers
in STEM courses. Our thanks for the vital contributions of Joe
Moxley, Principal Investigator, Alex Rudniy and the USF team
Rajeev Reddy Rachamalla, Dat Ba Le, Brooke Downey, and
Natalie Kass; Norbert Elliot, Professor Emeritus of English at New
Jersey Institute of Technology and our NSF grant consultant;
fellow investigators Chris Anson, Suzanne Lane, and Christiane
Donahue; and Brighid Kelly, who solves all problems, big and
small.</p>
    </sec>
    <sec id="sec-8">
      <title>6. REFERENCES</title>
    </sec>
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