Abstract
We compared the ability of models based on evolutionary economic theory and Life History (LH) Theory to explain relations among self-reported negative affect, mate value, and mating effort. Method: Two hundred thirty-eight undergraduates provided multiple measures of these latent constructs, permitting us to test a priori predictions based on Kirsner, Figueredo, and Jacobs (2003). We compared the fit of the initial model to the fit of five alternative theory-driven models using nested model comparisons of Structural Equations Models. Rejecting less parsimonious and explanatory models eliminated the original model. Two equally parsimonious models explained the data pattern well. The first, based on evolutionary economic theory, specified that
Introduction
Both affect and behavior play a central role in human short-term and long-term sexual relationships. Personal experiences, as well as evidence from the humanities and the various social sciences, clearly support this assertion. Our purpose is to contribute to this knowledge base by estimating the causal structure and importance of a subset of these relationships—those among negative affect, mate value, and mating effort—using a Structural Equations Model approach. To move us toward this goal, we must first familiarize the reader with a few terms.
Self-perceived
We expect negative affect to have differential effects on mate attraction and mate retention. Though negative affect may decrease mate attraction efforts by encouraging avoidance of social situations (Johnson, Aikman, Danner, and Elling, 1995; Lesure-Lester, 2001), negative affect should increase efforts to retain existing mates for several reasons. Negative affect may: (1) increase desire to have a mate, to the extent that one believes a mate will lessen one's negative affect (McNeill, Rienzi, Butler, and Doty, 1996), (2) decrease confidence in one's ability to attract new or alternative mates (Smith and Betz, 2000), and (3) decrease desire to accept risks (Yuen and Lee, 2003), such as the risk of giving up a current mate in hopes that a new mate might be an improvement. Finally, depression is associated with lower self-perceived mate value (Kirsner et al., 2003); if negative affect decreases self-perceived mate value relative to its level at the onset of the relationship, it would require one to invest more to equalize the product of mate value and mating effort between existing partners (Cosmides and Tooby, 1992).
Life History (LH) Theory (MacArthur and Wilson, 1967; Figueredo et al., 2006b) provides an alternative interpretation of the relationships among
Convergent lines of evidence suggest a positive association among a fast LH strategy,
We use our previous work (Kirsner et al., 2003), evolutionary economic theory, and LH Theory to guide our design, data collection, analyses, and interpretation of those analyses in the present manuscript. We compared six structural models, starting with one based closely on the structural model described by Kirsner et al. Both the primary theoretical model (Model 1.0), based on evolutionary economic theory, and the reinterpreted theoretical model (Model 2.0), which also incorporates LH theory, share the following hypotheses:
Both
In addition, the primary theoretical model (Model 1.0) proposes that both direct and indirect causal relationships exist between

Primary theoretical model (1.0).
In contrast to Model 1.0, the reinterpreted theoretical model (Model 2.0) proposes that negative affect, mating effort, and personal mate value are correlated because they are convergent indicators of LH, generating the following prediction (see Figure 3):
The
Materials and Methods
Participants
The participants were 238 undergraduates, 99 male and 139 female, enrolled in introductory-level Psychology courses at the University of Arizona. All participants were at least 18 years old at the time of participation (mean age = 19.3).
Measures
The
The
The
The
On all five forms of the
Procedures
While completing a set of questionnaires during class, students were asked to indicate whether they would be interested in participating in a study that involved questions about romantic relationships and sexual behavior. They also completed screening instruments to permit over-sampling of respondents with high scores on the
During their appointments participants were seated in a room alone. After each participant completed informed consent procedures, he or she completed a packet of questionnaires and returned them to a box to maintain anonymity.
Statistical Analyses
We constructed our scales, measurement, and structural models using the procedures detailed in Kirsner et al. (2003).
Balancing explanatory power with model parsimony, we used hierarchically nested model comparisons (Widaman, 1985) to determine which of the alternative models produced the best fit to the data as measured by practical fit indices and Chi-squared.
Practical fit indices, such as the Normed Fit Index (NFI) and the Comparative Fit Index (CFI) estimate how successfully a proposed model describes observed relations among measured variables. Practical indices of fit compare the proposed model to a complete “independence” model, a model that does not reproduce any of the observed correlations. In other words, practical fit indices tell you how much better than nothing your model performs.
In contrast, Chi-squared takes the opposite approach; it tells you how much less than perfect your model is. Chi-squared estimates the extent to which a structural equations model replicates the observed relations among variables (i.e., covariances in the data collected) by statistically comparing a proposed model to a completely “saturated” model, a model that reproduces the observed correlations perfectly.
When significant, Chi-squared indicates that the proposed model did not reproduce the observed correlations among the variables within an acceptable margin of sampling error. When non-significant, Chi-squared indicates that a model perfectly reproduced the observed relations among the variables. An acceptable margin for sampling error is conventionally defined as a 95% confidence interval around a discrepancy of zero between the observed correlations and those predicted by the proposed model.
In addition to describing the acceptability of a model on its own, Chi-squared can compare related models, using a technique known as Nested Model Comparisons (NMC). In this context, one compares models in terms of the most parsimonious yet complete explanation of the observed data. Using NMC, one can compare the fit of any two models with hierarchically nested relations. Two models are hierarchically nested if they have identical specifications except for one or more parameters that have been omitted in the restricted model. In short, one can compare the fit of models with and without the pathways whose necessity is being examined (James, Mulaik, and Brett, 1982).
When conducting a NMC, we make tradeoffs. Our scientific goal is threefold: a) to propose parsimonious models that b) permit us to predict patterns of behavior and, under the right circumstances, c) control or influence those patterns of behavior.
If we proposed a “saturated” model, with paths between every possible pair of variables, the model explains 100% of the observed relations among the measured variables. Such a model is of no practical use because, in effect, it says that everything directly affects everything else—it merely restates the data contained in the covariance matrix. Because perfect prediction of behavior is infinitely costly, we initially attempt to get the most value out of the smallest possible number of structural pathways. As researchers, we are generally interested in including only those variables and pathways among them that surpass a threshold level of explanatory power. If we can eliminate a particular pathway without losing significant explanatory power, we do so.
It is important to keep in mind, however, that the observed covariance among measured variables includes error specific to the particular sample of the population. This leads to a second tradeoff. Parsimony may suggest that a particular pathway does not provide enough additional explanatory power to warrant inclusion in a model, whereas a priori theory may lead one to conclude that the pathway only
To compare two models, one of which has fewer error degrees of freedom (i.e., more model degrees of freedom representing pathways) and a lower Chi-squared than the other, NMC involves three steps. First, subtract the smaller number of degrees of freedom from the larger number; second, subtract the smaller Chi-squared from the larger Chi-squared. Third, locate the resulting Difference Chi-Squared (DCS) figure in a Chi-squared table and determined its significance level. If the DCS is significant, the dropped pathway(s) produced a significant loss of explanatory power. In other words, it is better to leave those pathways intact. If the resulting DCS is not significant, the dropped pathway(s) produce no significant loss of explanatory power. Hence, the more parsimonious is preferable to the less parsimonious model.
The first restricted model, Model 1.1, eliminated two of the causal pathways proposed in Model 1.0: the pathways from
The second restricted model, Model 1.2, eliminated the causal pathway from
The reinterpreted model, Model 2.0, replaced the causal pathway from
As in Model 2.0, the first restricted variant, Model 2.1, retained the direct causal pathways from the
The second restricted variant of Model 2.0, Model 2.2, is identical to Model 2.1 except for having eliminated the causal pathway from
Results
Descriptive Statistics
Psychometric properties of the Mate Value Inventory (MVI).
Frequency Distribution of Beck Depression Inventory-II (BDI-II) Scores by Sex.
Multivariate Analyses
Statistical and practical fit indices for alternative structural equations models.
Hierarchically nested model comparisons.

Restricted model (1.1).
The nested model comparison between Models 1.0 and 1.2 examined the contributions of the direct pathway between Negative Affect and Mating Effort. Model 1.2 gained one degree of freedom by eliminating the direct pathway between Negative Affect and Mating Effort. The difference Chi-squared for the comparison was statistically significant,
The nested model comparison between Model 2.0 (Figure 3) and Model 2.1 (Figure 4) examined the contribution of the pathway from Short-Term Mate Value to Mating Effort. Model 2.1 gained one degree of freedom by eliminating the indirect pathway from the LH Factor to Mating Effort mediated by Personal Mate Value and Short-Term Partner Mate Value. Dropping the direct path from Short-Term Partner Mate Value to Mating Effort eliminated this indirect pathway. The difference Chi-squared was not statistically significant,

Reinterpreted model (2.0).

Restricted reinterpreted model (2.1).
The nested model comparison between Model 2.2 and Model 2.1 examined the contribution of the pathway from
Discussion
We used a structural equations model approach to examine the empirical plausibility of hypothesized causal relations among
Both models measured three indicators of
The detrimental impact of using sexual, psychological, or physically violent behaviors to manipulate one's partner is obvious. Less obvious are the dangers to the partner who uses those tactics, perhaps because of fears that his or her mate will defect. The present study demonstrated that experiencing persistent
Turning to the structural models, the primary theoretical model, Model 1.0, which is based on evolutionary economic theory, predicted a set of causal pathways from
Model 1.1 specified a direct effect, from
Although there was very little mathematical basis on which to decide between Models 1.1 and 2.1 based on the current cross-sectional, correlational data, we can do so experimentally. Each model predicts a unique set of relations among measures of
By either account, the explanatory power and fit of the preferred Models 1.1 and 2.1 pose a serious challenge to the predictive power of evolutionary economic theory. By Model 1.1, there is no indirect effect of
Summary
The present study examined relations among
Footnotes
1
Model 1.2 may be rejected by a strict statistical (Chi-Squared) criterion.
2
Because the preferred primary model, Model 1.1, and the preferred reinterpreted model, Model 2.1, are not nested, we could not pit them against one another directly.
Had Sex Questionnaire
The following questionnaire was based on Sanders and Reinisch (1999).
Would you say you “had sex” with someone if the most intimate behavior you engaged in was…?
According to your definition of having “had sex” above, at what age did you first “have sex”?
Cumulative Sexual Frequency
Please answer the questions based on how you defined “having sex” (see
If you have never “had sex” according to your definition, please skip this and the next page.
If you have ever had consensual sex in your life, please answer the following:
I have had consensual sex with men approximately __________ time(s) in my lifetime, with approximately ______ different partners.
I have had consensual sex with women approximately _________ time(s) in my lifetime, with approximately _____ different partners.
Sexual Situations
The following questionnaire was based on taxonomic work reported by Figueredo et al. (2007a).
Based on how you defined “having sex” (see Had Sex Questionnaire in Appendix A), please answer the following. If you have never “had sex” according to your definition, please skip this and the next page.
About how many times have you done these things in the past year? (Note: Please use a number, not words, to answer this question.)
I have had sex with someone when I wanted their attention.
I have had sex with someone when they were drunk or high.
I have had sex with someone when I thought it would keep them from breaking up with me.
I have had sex with someone when I felt good about having sex.
I have had sex with someone when I wanted affection.
I have had sex with someone when I thought I would lose them if I didn't.
I have had consensual sex with someone when they refused to use protection.
I have had sex with someone when I wanted to get revenge on someone else.
I have had sex with someone when I specifically decided beforehand that I would not do so.
I have had sex with someone when I was uncomfortable saying no.
I have had sex with someone when I wanted to get pregnant/to get my partner pregnant.
I have had sex with someone when I drank more than I intended.
I have had sex when it seemed like the easiest thing to do under the circumstances.
I have been sexually unfaithful to a romantic partner.
I have had sex with someone to help me stop feeling lonely.
I have had sex with someone after we ended a romantic relationship with each other.
I have had sex with someone when I felt obligated after my partner became excited.
I have had sex when I felt anxiety about what I should do.
I have had sex with someone when I thought they would enjoy it even though I might not.
I have had sex with someone when I thought they expected me to.
I have had sex with someone when I wanted to avoid having to do something else with them.
I have had make-up sex with someone after an argument or verbal fight with them.
I have had sex with someone when I thought they would leave me if I didn't.
I have had sex with someone when I wanted to release sexual tension.
I have had sex with someone when I wanted to get something from them.
I have had sex with someone when I was drunk or high.
I have had sex with someone when I wanted to get rid of a bad mood I was in.
I have had sex with someone when I wanted to make myself feel attractive.
I have had sex with someone when I wanted to feel good.
I have had sex with someone when I felt obliged after they spent a lot of money on me.
I have had sex with someone when I thought my partner would be unsatisfied otherwise.
I have had sex with someone I was not in a committed relationship with.
I have had make-up sex with someone after a fight in which one of us physically hurt the other.
I have had sex with someone when they would not take no for an answer.
I have had sex with someone when I wanted to feel close to them.
I have had sex with someone when I wanted to get them interested in me.
Mate Retention Scale
Past year:
In the past year, how many romantic/sexual partners have you been involved with? ___________
In the past year, how many times have you gone through what you consider a break-up?
______
If you have answered 0 to both of these questions, please skip this and the next page.
In the past year, about how many times did these things happen?
(Note: Please use a number, not words, to answer this question.)
1a. I insisted that my partner spend his or her free time with me
1b. My partner insisted that I spend my free time with him/her
2a. I did not let my partner go out without me
2b. My partner did not let me go out without him/her
3a. I became angry when my partner flirted with someone else
3b. My partner became angry when I flirted with someone else
4a. I made my partner feel guilty about talking to other girls/guys
4b. My partner made me feel guilty about talking to other girls/guys
5a. I pleaded with my partner not to leave me
5b. My partner pleaded with me not to leave him/her
6a. I threatened to hurt myself if my partner left me
6b. My partner threatened to hurt himself/herself if I left him/her
7a. I made my partner feel badly about her/his chances of finding another partner
7b. My partner made me feel badly about my chances of finding another partner
8a. I intentionally or unintentionally put my partner down to his or her face
8b. Intentionally or unintentionally my partner put me down to my face
9a. I intentionally or unintentionally put my partner down to others
9b. Intentionally or unintentionally my partner put me down to others
10a. I offered to be more committed to my partner
10b. My partner offered to be more committed to me
11a. I gave my partner presents I could not easily afford to give
11b. My partner gave me presents he/she could not easily afford to give
12a. I prepared or took my partner out for a romantic meal
12b. My partner prepared or took me out for a romantic meal
13a. I gave in to my partner's sexual requests
13b. My partner gave in to my sexual requests
14a. I expressed more enthusiasm about sex than I really felt at the time
14b. I think my partner expressed more enthusiasm about sex than he/she really felt
15a. I did something my partner asked even though I did not really want to
15b. My partner did something I asked even though he/she did not really want to
16a. I went along with my partner's opinions even though I did not agree with them
16b. I think my partner went along with my opinions even though he/she did not agree
17a. I told my partner he/she would never find anyone as good as me if they left me
17b. My partner told me I would never find anyone as good as him/her if I left him/her
18a. I threatened to do something to hurt my partner if he or she left me
18b. My partner threatened to do something to hurt me if I left him/her
19a. I flirted with someone other than my current partner when my partner was present
19b. My partner flirted with someone other than me when I was present
20a. FEMALES: I may have, or did, get pregnant
20b. MALES: I may have, or did, impregnate a woman
Prior to Past Year:
Before the past year, how many romantic/sexual partners were you involved with? _____
Before the past year, how many times did you go through what you consider a break-up?
______
If you have answered 0 to both of these questions, please skip this and the next page.
Before the past year, about how many times did these things happen?
(Note: Please use a number, not words, to answer this question.)
The same items were administered for the time frame Prior to Past Year as for Past Year.
