Digit ratio, in particular the ratio of the length of the 2nd finger to the 4th finger, has been found in humans to be a correlate of the level of individual prenatal testosterone exposure [1]. Typically, men tend to have lower digit ratios as a result of being exposed to higher testosterone levels in the womb [2,3]. Male digit ratio has been correlated with a range of abilities, including those as diverse as visuo-spatial processing [4,5] and success in financial trading [6]. At the same time, the digit ratio in females has been linked to a number of personality traits, such as psychoticism and neuroticism [7]. Together these studies suggest a difference in the way prenatal testosterone levels influence male and female behaviour. However, this distinction is not so clear-cut with studies showing a link between female digit ratio and spatial navigation ability [8] as well as the sense of direction [9], another finding shows links for both sexes for a line angle judgement task [10], with further studies including large samples, showing no links between either sexes’ digit ratio and cognitive task performance [3,7], and finally a meta analysis reiterating these conclusions [11].

The literature linking testosterone levels and spatial performance is complicated by reports of both negative and positive correlations between testosterone levels and visuo-spatial task performance for men and women respectively. These studies postulate an inverted u-shape function with an optimal level of testosterone linked to maximal visuo-spatial performance [12,13]. This theory is consistent with the existence of a positive correlation between salivary testosterone levels and visuo-spatial task performance for women, whose testosterone levels tend to be along the lower end of the scale, whilst at the same time, explaining a negative correlation between salivary testosterone levels and visuo-spatial performance for men, who tend to have higher testosterone levels.

A study in androgen deficient men showing a positive correlation between testicular volume and spatial ability provides evidence in favour of this theory [14]. Further support exists in the sex differences literature with males performing slightly better on visuo-spatial working memory tasks, whilst females perform better on verbal fluency tasks [15-18]. The dichotomy of task type and performance suggests a trade-off between verbal and visuospatial abilities irrespective of sex differences.

Handedness, like digit ratio, has also been shown to be an indicator of prenatal exposure to testosterone. In humans, the fact that the right hemisphere of the brain develops faster than the left, coupled with the theory that testosterone exposure inhibits the growth of neurons, may indicate that more testosterone can slow the growth of the left hemisphere and result in cognitive differences [19]. These differences include a higher incidence of lefthandedness in right hemisphere dominant brains. Consequently, because males in general have higher levels of prenatal testosterone, there are more incidences of lefthandedness for males than there are for females [20-22]. The retention of visual material has been linked to handedness [23] and there is also evidence to suggest a similar relationship between handedness and spatial ability, similar to the proposed link between prenatal testosterone levels and spatial ability, where lower spatial performance was linked with extreme right or left handedness, whilst highest performers fell somewhere in between [24]. Therefore, the link between handedness and visuospatial performance lends weight to the suggestion that digit ratio is linked to performance on visuo-spatial tasks, with both being a consequence of prenatal testosterone exposure.

With the advent of 3D screen technology entering mainstream media entertainment, there are many questions as to how this might enhance viewers’ experiences. In a research context, this technology allows for easier investigation of, for example, whether the addition of stereo information increases the ability to process the rotation of visual information (mental rotation). One paper has reported that stereo information is only useful for very specific three dimensional tasks, such as for air traffic controllers having to work on a collision avoidance task [25]. Postulated sex differences were not confirmed on mental rotation tasks when real objects were used or when a 3D stereo rendition of objects was used [26,27]. The addition of 3D information appears to simplify the task of mental rotation by eliminating the need to infer the 3D structure of a 2D image, a process known as dimensionality crossing [28]. It therefore appears that males have an advantage in conventional mental rotation tasks because of their ability to extract 3D information from a perspective projection, rather than in mental rotation per se.

Digit ratio was measured by photocopying the hands of participants using the same method as Coates, et al. [6], where finger lengths were measured manually with a ruler.

Stimuli were presented on a 22 inch Samsung SM- 2233RZ monitor with a refresh rate of 120 Hz which was viewed from a distance of 57 cm. Participants wore shutter glasses synced to the frequency of the monitor, such that each eye was exposed to alternate frames of the display, allowing presentation of stereo images at an effective frequency of 60 Hz. The experiment was coded in C#/XNA running on Windows 7.

30 right-handed participants, 14 females and 16 males took part in the experiment. Mean age was 26.00 with a standard deviation 5.20 years. Data for 1 male participant was excluded on the grounds that his score on the spatial memory task was less than chance.

Participants conducted a semantic fluency test chosen as it has been shown to be most transferable across languages [34]. Participants had the choice of performing the test in their native language or in English, as well as whether to conduct it in a word processing document or to write the list out manually. Participants had one minute to list as many animals as they could.

Participants filled in a modified version of the original Edinburgh handedness questionnaire [35]. http://www.brainmapping.org/shared/Edinburgh.php

To control for the effects of IQ on visuo-spatial performance, participants performed the 12-item version of the Raven’s Matrices (Set 2). This version of the test gives a reasonable indication of IQ within a short  time frame [15,36].

The visuo-spatial task was presented in 4 separate sessions, each consisting of 24 blocks of 5 images. 2 sessions involved presentation of stimuli in 2D, whilst 2 sessions involved presentation of stimuli in 3D. The order was randomised across different participants. Stimuli were adapted from Hartley, et al. [33]. Each image consisted of a landscape with four mountains of different shapes and sizes. For the first image in each block, participants only had to memorise the landscape and its particular arrangement of features. Participants then advanced to the next image by pressing either the number 1 or 2 on the keyboard numerical keypad. In the subsequent 4 images the landscape changed in one of four ways relative to the preceding image in a pseudo-random order:

1) The landscape and viewpoint from which it was seen stayed the same.

2) Spatial features such as two of the mountains changed shape or size in the landscape.

3) The landscape remained the same, but the viewpoint changed.

4) Both the spatial features and the viewpoint of the new landscape also changed.

Participants were required to judge whether an image was the same or a different place as the preceding image using the “1” key for locations they thought were the same (conditions 1 and 3) and the “2” key if they thought they were different (conditions 2 and 4). Figure 1 shows examples of the type of stimuli presented. There was no time limit for responding and accuracy was emphasised. No feedback was provided but participants were given a demonstration of one block of trials before commencing the experiment to familiarise themselves with the task.

Performance did not differ significantly between men and women (unpaired t-test t(28) = 0.0355, p = 0.97) with mean of 280.27 correct trials out of a total of 384 trials, even when separated into the four change conditions (i.e. when no changes occur between images, unpaired t-test t(28) = 0.5947, p = 0.56; when a spatial change occurs, unpaired t-test t(28) = 0.7103, p = 0.48; when a viewpoint change occurs, unpaired t-test t(28) = 0.2390, p = 0.81 and when both a viewpoint and spatial change occurs t(28) = 0.1379, p = 0.89).

Pooling male and female data together, there was a significant difference between 2D and 3D presentations for the spatial change only condition; scenario 2 in Figure 1 A (paired t(29) = 2.39, p = 0.0234, r = 0.41), with performance being worse when the stimuli were

presented in 3D as opposed to 2D (30.9 c.f. 32.8).

Figure 2 shows differences between the sexes on the independent predictors of visuo-spatial ability. In general there were no significant differences between the measures with respect to sex with the exception of digit ratio, which in agreement with past studies, showed that male digit ratios were significantly lower than female digit ratios (unpaired t(28) = 3.62, p = 0.005, Bonferroni corrected, r = 0.5647).

Cross-correlations between the predictors: age, Raven’s matrices scores, verbal fluency, handedness and digit ratio showed no significant correlations for either men or women.

The negative correlation between 3D stereo spatial change detection and digit ratio for women found in the present study is a new finding and gives insight into the seemingly conflicting studies that show a correlation between spatial ability and digit ratio in either women only [8,42], men only [4], in both men and women [5], [10] or in neither [3,7,18]. Most importantly this negative correlation, suggesting higher prenatal testosterone exposure in women confers an advantage in spatial feature memory, agrees with existing studies showing that visuo-

spatial performance correlates with higher testosterone levels for women [12,16]. It is also consistent with large sample internet studies (>250,000 subjects) showing that spatial ability correlated with more male-typical digit ratios [5,10].

A key difference between our task and visuospatial tasks typically employed in previous studies such as the previously mentioned Sanders, et al. [4] study, which showed only correlations with male digit ratio, is that the conventional Shepard and Metzler task they used requires explicit dimensionality crossing, whereby the observer must extract 3D information from a 2D perspective view, and perform mental rotation on every trial. It has been shown that men perform better on mental rotation tasks although this advantage disappears when dimensionality crossing is eliminated from the task [27]. Analogously, the link between female digit ratio and spatial feature detection is similar to the female advantage in perceptual speed judgements of identifying similar pictures in a group of others [12]. It also supports findings of a female advantage in object location memory [31,32]. The findings in the current study therefore mirror the sex differences seen in tasks which may be appropriately comparable.

In our study, mental rotation was only necessary in cases where the viewpoint changed. We found that in both this condition and the one in which the viewpoint stayed the same, performance correlated with digit ratio when only spatial features changed, and only when the task was in 3D. More specifically, there was a correlation between female digit ratio and a specific spatial memory skill in 3D in the absence of both mental rotation and dimensionality crossing.

We argue that the reason for sex differences previously reported lies in the different types of visuo-spatial task that participants were required to perform. With regards to our own data, a pure spatial feature change detection task in the absence of mental rotation and dimensionality crossing was the specific aspect of the task that showed a correlation with female digit ratio.

We also suggest that the stimuli we presented were a novel stimulus type that participants would not ordinarily be exposed to, and could explain the strong correlations in our data. At first glance, the idea that viewing and processing 3D stimuli is novel seems contradictory, given that we experience the natural world in stereo. However, one indication of task novelty in our results is the lower performance on the task when presented in 3D compared with in 2D. This decrease in performance for 3D stimuli is contrary to other studies that have shown that 3D information can enhance performance on visuospatial processing tasks with the caveat that the task involves a particular aspect of spatial processing [25,43]. In addition, one study makes a distinction between 3D information shown in a 2D perspective view on a screen, 3D non-immersive (using anaglyphic glasses) viewing and 3D immersive viewing, and argues that 3D nonimmersive viewing does not differ significantly from 2D viewing, whilst both are inferior to 3D immersive viewing [43]. The significant difference between 2D and 3D performance, coupled with the correlation between female digit ratio and performance in 3D in our study adds to this finding and shows that desktop 3D is qualitatively different from desktop 2D. This may be due to there being subtle differences between stereo information viewed in a natural scene and stereo information viewed on a stereo display. To elaborate on this, a landscape viewed in the real world would not possess the same large disparity information that is used to represent the landscape in stereo on a small desktop display. In fact the desktop 3D information may be quite different compared to the same sort of scene in the real environment, since large and distant landscapes would lack the level of disparity information artificially introduced here. Indeed a 2D landscape could be argued to be a closer rendition of a real landscape viewed from afar, as the real landscape would possess very little stereo information. Additionally, we are very used to organising 2D images into 3D landscapes, having for most of our lives been exposed to 2D images of 3D scenes from static pictures to moving images. It is therefore possible that despite viewing the natural world in 3D, the lack of familiarity in viewing artificial visual stimuli encoded with 3D information gives an advantage to the normal process of reconstructing 3D structure from the very commonplace 2D stimuli. The addition of stereo in this case could be viewed as rather artificial. In fact, one could argue that the 3D information provided in this experiment was more representative of a small-scale model landscape and therefore represents an artificial and relatively novel rendition of 3D. As such, by presenting the stimuli in 3D we may have effectively introduced a novel paradigm that participants have not experienced before, reducing practice effects as a result of lifetime exposure to such tasks, which could explain why such a strong correlation was found for the female data. In time, with the possible advent of 3D stimuli becoming more mainstream, processing of such scenes may become second nature and reach the same levels that 2D scenes are currently processed with. A side-effect of this might be the reduction of the strength of the correlation with female digit ratio as different levels of familiarity with the stimuli confound any intrinsic spatial processing skills.

The distinction between spatial ability and mental rotation ability, and the absence of cross-dimensionality processing, offers an explanation to the existing inconsistency in the literature regarding sex differences and links to the digit ratio. Also, because female testosterone levels are typically much lower than males, their innate visuo-spatial abilities are more closely linked to prenatal testosterone levels, with the latter being a marker of instinctive performance. In males, innate visuo-spatial ability is likely to be influenced by their much higher ongoing testosterone levels, although it is important to note that this does not negate the findings of the previous study that showed a correlation between male performance on a visuo-spatial task and 2D:4D ratio [4]. In contrast to our experimental task, their task was based on more correctly scaled objects [44], was presented in a more familiar 2D display setting and imposed a time limit in which participants could respond. Other such correlations in the male data have also been found but with much larger sample sizes (>100,000) than the ones we have utilised here [5]. It is therefore possible that with a larger sample size, a correlation with male digit ratio and spatial performance in our task would also be found. Nevertheless, this study did not find a correlation with an equivalent-sized sample of males to females, with the latter showing significant effects.

The handedness correlation found for performance in women is consistent with previous studies showing a correlation with right handedness and spatial ability in women [45,46]. The present study shows the correlation for a much smaller sample size (14 compared with more than 100) and is compelling given the narrower spread in handedness for females compared with males (see Figure 2Error! Reference source not found.Table 1). Interestingly, the correlations exist for both the 2D and 3D data, with p values an order of magnitude lower when the viewpoint also changed and when participants responded correctly to detecting no changes between subsequent images (see Figure 3Figure 3Figure 2Figure 2Figure 3). It therefore appears that the correlation with handedness is distinct from the correlation with digit ratio, with handedness being a predictor of general visuo-spatial processing performance, irrespective of whether the task is shown in 2D or 3D. Handedness is therefore not subject to the same novelty conditions that the digit ratio correlation seems to be. Additionally, we did not find a correlation between handedness and digit ratio, in contrast to previous studies. This is less surprising in light of the evidence above showing differences between how handedness and digit ratio relate to different aspects of the spatial stimuli. This result adds evidence to the theory that prenatal testosterone is the primary independent variable that gives rise to handedness and digit ratio, which in turn are linked to different aspects of spatial processing separately. However, handedness studies again tend to have much larger sample sizes and it is likely that the association between handedness and digit ratio is therefore much weaker [47,48].

Given the dichotomy between the sexes for verbal and spatial abilities [15,16], we investigated whether the two were negatively correlated. We found no correlation between spatial ability and verbal fluency, suggesting that verbal fluency does not predict spatial ability. We also did not find a significant sex difference (see Figure 2). This finding is consistent with the current literature where some studies show a difference [16,29] and others show no sex differences in verbal ability [49]. This finding however, does not impact on our main finding, that there is a link between spatial performance and digit ratio for female participants.

The positive correlation of age with one aspect of the spatial memory task contrasts with a number of existing studies showing a deficit in performance with age [37,50, 51]. However, the particular aspect of the scene that correlated with age was detection of “no changes”. Detection of the image remaining exactly the same is not strictly speaking a spatial processing task so it is not an equivalent comparison to past studies. When the viewpoint of the scene changed or when spatial aspects of the scene changed, performance in these tasks was not found to be age related in contrast to previous studies.